28609459200 has 1056 divisors, whose sum is σ = 123218264320. Its totient is φ = 6449725440.

The previous prime is 28609459189. The next prime is 28609459243. The reversal of 28609459200 is 295490682.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391910364 + ... + 391910436.

Almost surely, 2^28609459200 is an apocalyptic number.

28609459200 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 28609459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61609132160).

28609459200 is an abundant number, since it is smaller than the sum of its proper divisors (94608805120).

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

28609459200 is an frugal number, since it uses more digits than its factorization.

28609459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 28609459200 in words is "twenty-eight billion, six hundred nine million, four hundred fifty-nine thousand, two hundred".