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28299840 = 263541719
BaseRepresentation
bin110101111110…
…1001001000000
31222020210002020
41223331021000
524221043330
62450321440
7462354552
oct153751100
958223066
1028299840
1114a7a0a8
129589280
135b2b18a
143a894d2
152740210
hex1afd240

28299840 has 112 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 7352320.

The previous prime is 28299839. The next prime is 28299841. The reversal of 28299840 is 4899282.

It is an interprime number because it is at equal distance from previous prime (28299839) and next prime (28299841).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28299792 and 28299801.

It is not an unprimeable number, because it can be changed into a prime (28299841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39001 + ... + 39719.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 228299840 is an apocalyptic number.

28299840 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 28299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

28299840 is an abundant number, since it is smaller than the sum of its proper divisors (63871680).

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

28299840 is a wasteful number, since it uses less digits than its factorization.

28299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 28299840 is about 5319.7593930553. The cubic root of 28299840 is about 304.7389686360.

The spelling of 28299840 in words is "twenty-eight million, two hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 719 820 960 984 1230 1312 1438 1640 1968 2157 2460 2624 2876 3280 3595 3936 4314 4920 5752 6560 7190 7872 8628 9840 10785 11504 13120 14380 17256 19680 21570 23008 28760 29479 34512 39360 43140 46016 57520 58958 69024 86280 88437 115040 117916 138048 147395 172560 176874 230080 235832 294790 345120 353748 442185 471664 589580 690240 707496 884370 943328 1179160 1414992 1768740 1886656 2358320 2829984 3537480 4716640 5659968 7074960 9433280 14149920 28299840