28900569600 has 360 divisors, whose sum is σ = 118205767680. Its totient is φ = 6605660160.

The previous prime is 28900569583. The next prime is 28900569611. The reversal of 28900569600 is 696500982.

28900569600 is a `hidden beast` number, since 2 + 89 + 0 + 0 + 569 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 788481 + ... + 824319.

Almost surely, 2^28900569600 is an apocalyptic number.

28900569600 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 28900569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59102883840).

28900569600 is an abundant number, since it is smaller than the sum of its proper divisors (89305198080).

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

28900569600 is a wasteful number, since it uses less digits than its factorization.

28900569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35880 (or 35856 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

28900569600 divided by its sum of digits (45) gives a triangular number (642234880 = T₃₅₈₃₉).

The spelling of 28900569600 in words is "twenty-eight billion, nine hundred million, five hundred sixty-nine thousand, six hundred".