28285979400 has 576 divisors, whose sum is σ = 113162400000. Its totient is φ = 6195087360.

The previous prime is 28285979341. The next prime is 28285979437. The reversal of 28285979400 is 497958282.

28285979400 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 597 + 9 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72714406 + ... + 72714794.

It is an arithmetic number, because the mean of its divisors is an integer number (196462500).

Almost surely, 2^28285979400 is an apocalyptic number.

28285979400 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 28285979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56581200000).

28285979400 is an abundant number, since it is smaller than the sum of its proper divisors (84876420600).

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

28285979400 is a wasteful number, since it uses less digits than its factorization.

28285979400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28285979400 in words is "twenty-eight billion, two hundred eighty-five million, nine hundred seventy-nine thousand, four hundred".