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28897659360 = 25335193141277
BaseRepresentation
bin11010111010011011…
…110100100111100000
32202120221001012022000
4122322123310213200
5433140300044420
621135253044000
72042053023513
oct327233644740
982527035260
1028897659360
1111289a80209
125725926600
132956ba4c2b
141581c9ad7a
15b41e7e690
hex6ba6f49e0

28897659360 has 768 divisors, whose sum is σ = 112986316800. Its totient is φ = 6867763200.

The previous prime is 28897659353. The next prime is 28897659433. The reversal of 28897659360 is 6395679882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104323542 + ... + 104323818.

It is an arithmetic number, because the mean of its divisors is an integer number (147117600).

Almost surely, 228897659360 is an apocalyptic number.

28897659360 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 28897659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56493158400).

28897659360 is an abundant number, since it is smaller than the sum of its proper divisors (84088657440).

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

28897659360 is a wasteful number, since it uses less digits than its factorization.

28897659360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 28897659360 in words is "twenty-eight billion, eight hundred ninety-seven million, six hundred fifty-nine thousand, three hundred sixty".