28058637600 has 576 divisors, whose sum is σ = 122092185600. Its totient is φ = 6075233280.

The previous prime is 28058637589. The next prime is 28058637617. The reversal of 28058637600 is 673685082.

28058637600 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 8 + 6 + 37 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2867917 + ... + 2877683.

It is an arithmetic number, because the mean of its divisors is an integer number (211965600).

Almost surely, 2^28058637600 is an apocalyptic number.

28058637600 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 28058637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61046092800).

28058637600 is an abundant number, since it is smaller than the sum of its proper divisors (94033548000).

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

28058637600 is a wasteful number, since it uses less digits than its factorization.

28058637600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9822 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28058637600 in words is "twenty-eight billion, fifty-eight million, six hundred thirty-seven thousand, six hundred".