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28759968 = 253333287
BaseRepresentation
bin110110110110…
…1011110100000
32000010011021000
41231231132200
524330304333
62504232000
7466312206
oct155553640
960104230
1028759968
1115263876
12976b600
135c5c743
143b69076
1527d1713
hex1b6d7a0

28759968 has 48 divisors (see below), whose sum is σ = 83885760. Its totient is φ = 9586368.

The previous prime is 28759961. The next prime is 28759979. The reversal of 28759968 is 86995782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×287599682 = 1654271518722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28759961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15780 + ... + 17507.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 228759968 is an apocalyptic number.

It is an amenable number.

28759968 is an abundant number, since it is smaller than the sum of its proper divisors (55125792).

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

28759968 is a wasteful number, since it uses less digits than its factorization.

28759968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33306 (or 33292 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 28759968 is about 5362.8320876194. The cubic root of 28759968 is about 306.3816844212.

The spelling of 28759968 in words is "twenty-eight million, seven hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 33287 66574 99861 133148 199722 266296 299583 399444 532592 599166 798888 898749 1065184 1198332 1597776 1797498 2396664 3195552 3594996 4793328 7189992 9586656 14379984 28759968