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28948500 = 2232537919
BaseRepresentation
bin110111001101…
…1100000010100
32000110201212200
41232123200110
524402323000
62512244500
7501025650
oct156334024
960421780
1028948500
1115382489
129840730
135cc74b9
143bb7a60
15281c500
hex1b9b814

28948500 has 144 divisors (see below), whose sum is σ = 104482560. Its totient is φ = 6609600.

The previous prime is 28948499. The next prime is 28948531. The reversal of 28948500 is 584982.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31041 + ... + 31959.

Almost surely, 228948500 is an apocalyptic number.

28948500 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 28948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52241280).

28948500 is an abundant number, since it is smaller than the sum of its proper divisors (75534060).

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

28948500 is a wasteful number, since it uses less digits than its factorization.

28948500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28948500 is about 5380.3810273995. The cubic root of 28948500 is about 307.0497077748.

The spelling of 28948500 in words is "twenty-eight million, nine hundred forty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 919 1050 1125 1260 1500 1575 1750 1838 2100 2250 2625 2757 3150 3500 3676 4500 4595 5250 5514 6300 6433 7875 8271 9190 10500 11028 12866 13785 15750 16542 18380 19299 22975 25732 27570 31500 32165 33084 38598 41355 45950 55140 57897 64330 68925 77196 82710 91900 96495 114875 115794 128660 137850 160825 165420 192990 206775 229750 231588 275700 289485 321650 344625 385980 413550 459500 482475 578970 643300 689250 804125 827100 964950 1033875 1157940 1378500 1447425 1608250 1929900 2067750 2412375 2894850 3216500 4135500 4824750 5789700 7237125 9649500 14474250 28948500