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28801536 = 293171103
BaseRepresentation
bin110110111011…
…1101000000000
32000012021021120
41231313220000
524333122121
62505152240
7466544331
oct155675000
960167246
1028801536
1115292025
12978b680
135c7563a
143b7a288
1527ddbc6
hex1b77a00

28801536 has 80 divisors (see below), whose sum is σ = 81316224. Its totient is φ = 9027584.

The previous prime is 28801523. The next prime is 28801541. The reversal of 28801536 is 63510882.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 28801497 and 28801506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25561 + ... + 26663.

Almost surely, 228801536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28801536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40658112).

28801536 is an abundant number, since it is smaller than the sum of its proper divisors (52514688).

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

28801536 is a wasteful number, since it uses less digits than its factorization.

28801536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 28801536 is about 5366.7062524420. The cubic root of 28801536 is about 306.5292221721.

The spelling of 28801536 in words is "twenty-eight million, eight hundred one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1103 1536 1632 2176 2206 3264 3309 4352 4412 6528 6618 8704 8824 13056 13236 17648 18751 26112 26472 35296 37502 52944 56253 70592 75004 105888 112506 141184 150008 211776 225012 282368 300016 423552 450024 564736 600032 847104 900048 1200064 1694208 1800096 2400128 3600192 4800256 7200384 9600512 14400768 28801536