28582900632 has 384 divisors, whose sum is σ = 97658084160. Its totient is φ = 7418511360.

The previous prime is 28582900609. The next prime is 28582900711. The reversal of 28582900632 is 23600928582.

It is a happy number.

28582900632 is a `hidden beast` number, since 2 + 8 + 5 + 8 + 2 + 9 + 0 + 0 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12776218 + ... + 12778454.

Almost surely, 2^28582900632 is an apocalyptic number.

28582900632 is a gapful number since it is divisible by the number (22) 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 28582900632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48829042080).

28582900632 is an abundant number, since it is smaller than the sum of its proper divisors (69075183528).

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

28582900632 is a wasteful number, since it uses less digits than its factorization.

28582900632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28582900632 in words is "twenty-eight billion, five hundred eighty-two million, nine hundred thousand, six hundred thirty-two".