28358557920 has 1152 divisors, whose sum is σ = 132792307200. Its totient is φ = 5573836800.

The previous prime is 28358557919. The next prime is 28358557933. The reversal of 28358557920 is 2975585382.

28358557920 is a `hidden beast` number, since 2 + 8 + 3 + 585 + 57 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44240800 + ... + 44241440.

It is an arithmetic number, because the mean of its divisors is an integer number (115271100).

Almost surely, 2^28358557920 is an apocalyptic number.

28358557920 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 28358557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66396153600).

28358557920 is an abundant number, since it is smaller than the sum of its proper divisors (104433749280).

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

28358557920 is a wasteful number, since it uses less digits than its factorization.

28358557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 28358557920 in words is "twenty-eight billion, three hundred fifty-eight million, five hundred fifty-seven thousand, nine hundred twenty".