28632505200 has 240 divisors, whose sum is σ = 101962807296. Its totient is φ = 6820531200.

The previous prime is 28632505189. The next prime is 28632505211. The reversal of 28632505200 is 250523682.

It is an interprime number because it is at equal distance from previous prime (28632505189) and next prime (28632505211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453997 + ... + 513203.

Almost surely, 2^28632505200 is an apocalyptic number.

28632505200 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 28632505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50981403648).

28632505200 is an abundant number, since it is smaller than the sum of its proper divisors (73330302096).

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

28632505200 is a wasteful number, since it uses less digits than its factorization.

28632505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59272 (or 59261 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 28632505200 in words is "twenty-eight billion, six hundred thirty-two million, five hundred five thousand, two hundred".