28602201600 has 900 divisors, whose sum is σ = 123360652404. Its totient is φ = 6526033920.

The previous prime is 28602201587. The next prime is 28602201623. The reversal of 28602201600 is 610220682.

28602201600 is a `hidden beast` number, since 28 + 602 + 20 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50802919 + ... + 50803481.

Almost surely, 2^28602201600 is an apocalyptic number.

28602201600 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 28602201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61680326202).

28602201600 is an abundant number, since it is smaller than the sum of its proper divisors (94758450804).

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

28602201600 is an equidigital number, since it uses as much as digits as its factorization.

28602201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 28602201600 in words is "twenty-eight billion, six hundred two million, two hundred one thousand, six hundred".