28825502400 has 210 divisors, whose sum is σ = 105955772340. Its totient is φ = 7686766080.

The previous prime is 28825502351. The next prime is 28825502401. The reversal of 28825502400 is 420552882.

28825502400 is a `hidden beast` number, since 2 + 8 + 82 + 550 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×28825502400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28825502401) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 18391 + ... + 240809.

Almost surely, 2^28825502400 is an apocalyptic number.

28825502400 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 28825502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52977886170).

28825502400 is an abundant number, since it is smaller than the sum of its proper divisors (77130269940).

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

28825502400 is a wasteful number, since it uses less digits than its factorization.

28825502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222453 (or 222429 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 28825502400 in words is "twenty-eight billion, eight hundred twenty-five million, five hundred two thousand, four hundred".