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28779474000 = 243534919769
BaseRepresentation
bin11010110011011000…
…111110110001010000
32202021200122202110110
4122303120332301100
5432420021132000
621115432001320
72036116331004
oct326330766120
982250582413
1028779474000
1111229298862
1256b2230240
132938564c74
1415702d4704
15b368d6850
hex6b363ec50

28779474000 has 160 divisors (see below), whose sum is σ = 92983512960. Its totient is φ = 7658112000.

The previous prime is 28779473963. The next prime is 28779474001. The reversal of 28779474000 is 47497782.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28779474001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2941116 + ... + 2950884.

It is an arithmetic number, because the mean of its divisors is an integer number (581146956).

Almost surely, 228779474000 is an apocalyptic number.

28779474000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28779474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46491756480).

28779474000 is an abundant number, since it is smaller than the sum of its proper divisors (64204038960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28779474000 is a wasteful number, since it uses less digits than its factorization.

28779474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 28779474000 in words is "twenty-eight billion, seven hundred seventy-nine million, four hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 491 500 600 750 982 1000 1200 1473 1500 1964 2000 2455 2946 3000 3928 4910 5892 6000 7365 7856 9769 9820 11784 12275 14730 19538 19640 23568 24550 29307 29460 36825 39076 39280 48845 49100 58614 58920 61375 73650 78152 97690 98200 117228 117840 122750 146535 147300 156304 184125 195380 196400 234456 244225 245500 293070 294600 368250 390760 468912 488450 491000 586140 589200 732675 736500 781520 976900 982000 1172280 1221125 1465350 1473000 1953800 2344560 2442250 2930700 2946000 3663375 3907600 4796579 4884500 5861400 7326750 9593158 9769000 11722800 14389737 14653500 19186316 19538000 23982895 28779474 29307000 38372632 47965790 57558948 58614000 71948685 76745264 95931580 115117896 119914475 143897370 191863160 230235792 239828950 287794740 359743425 383726320 479657900 575589480 599572375 719486850 959315800 1151178960 1199144750 1438973700 1798717125 1918631600 2398289500 2877947400 3597434250 4796579000 5755894800 7194868500 9593158000 14389737000 28779474000