28830665600 has 384 divisors, whose sum is σ = 81959040000. Its totient is φ = 9919078400.

The previous prime is 28830665597. The next prime is 28830665651. The reversal of 28830665600 is 656603882.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120630281 + ... + 120630519.

It is an arithmetic number, because the mean of its divisors is an integer number (213435000).

Almost surely, 2^28830665600 is an apocalyptic number.

28830665600 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 28830665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520000).

28830665600 is an abundant number, since it is smaller than the sum of its proper divisors (53128374400).

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

28830665600 is a wasteful number, since it uses less digits than its factorization.

28830665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 28830665600 in words is "twenty-eight billion, eight hundred thirty million, six hundred sixty-five thousand, six hundred".