28438502400 has 1188 divisors, whose sum is σ = 129779718120. Its totient is φ = 5883494400.

The previous prime is 28438502399. The next prime is 28438502423. The reversal of 28438502400 is 420583482.

28438502400 is a `hidden beast` number, since 2 + 84 + 38 + 502 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 124185486 + ... + 124185714.

Almost surely, 2^28438502400 is an apocalyptic number.

28438502400 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 28438502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64889859060).

28438502400 is an abundant number, since it is smaller than the sum of its proper divisors (101341215720).

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

28438502400 is a wasteful number, since it uses less digits than its factorization.

28438502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 28438502400 in words is "twenty-eight billion, four hundred thirty-eight million, five hundred two thousand, four hundred".