28634086800 has 540 divisors, whose sum is σ = 114464463984. Its totient is φ = 6572966400.

The previous prime is 28634086763. The next prime is 28634086807. The reversal of 28634086800 is 868043682.

It is a happy number.

28634086800 is a `hidden beast` number, since 2 + 8 + 634 + 0 + 8 + 6 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28634086807) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 14294599 + ... + 14296601.

Almost surely, 2^28634086800 is an apocalyptic number.

28634086800 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 28634086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57232231992).

28634086800 is an abundant number, since it is smaller than the sum of its proper divisors (85830377184).

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

28634086800 is a wasteful number, since it uses less digits than its factorization.

28634086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28634086800 in words is "twenty-eight billion, six hundred thirty-four million, eighty-six thousand, eight hundred".