5682128400 has 240 divisors, whose sum is σ = 21780411520. Its totient is φ = 1398643200.

The previous prime is 5682128359. The next prime is 5682128401. The reversal of 5682128400 is 48212865.

5682128400 is a `hidden beast` number, since 56 + 82 + 128 + 400 = 666.

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

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 (5682128401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120165 + ... + 160635.

Almost surely, 2^5682128400 is an apocalyptic number.

5682128400 is a gapful number since it is divisible by the number (50) 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 5682128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890205760).

5682128400 is an abundant number, since it is smaller than the sum of its proper divisors (16098283120).

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

5682128400 is a wasteful number, since it uses less digits than its factorization.

5682128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40511 (or 40494 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5682128400 is about 75379.8938709786. The cubic root of 5682128400 is about 1784.4471135627.

The spelling of 5682128400 in words is "five billion, six hundred eighty-two million, one hundred twenty-eight thousand, four hundred".