28486688400 has 405 divisors, whose sum is σ = 103449498321. Its totient is φ = 7258890240.

The previous prime is 28486688383. The next prime is 28486688453. The reversal of 28486688400 is 488668482.

The square root of 28486688400 is 168780.

It is a perfect power (a square), and thus also a powerful number.

28486688400 is a `hidden beast` number, since 2 + 84 + 86 + 6 + 88 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18954680976 + 9532007424 = 137676^2 + 97632^2 .

It is a super-2 number, since 2×28486688400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 293677152 + ... + 293677248.

Almost surely, 2^28486688400 is an apocalyptic number.

28486688400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28486688400 is the 168780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28486688400

28486688400 is an abundant number, since it is smaller than the sum of its proper divisors (74962809921).

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

28486688400 is a wasteful number, since it uses less digits than its factorization.

28486688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 28486688400 in words is "twenty-eight billion, four hundred eighty-six million, six hundred eighty-eight thousand, four hundred".