5628000400 has 225 divisors, whose sum is σ = 15368566665. Its totient is φ = 1980528000.

The previous prime is 5628000353. The next prime is 5628000401. The reversal of 5628000400 is 40008265.

The square root of 5628000400 is 75020.

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

It can be written as a sum of positive squares in only one way, i.e., 2026080144 + 3601920256 = 45012^2 + 60016^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5628000401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 181548385 + ... + 181548415.

Almost surely, 2^5628000400 is an apocalyptic number.

5628000400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5628000400 is the 75020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628000400

5628000400 is an abundant number, since it is smaller than the sum of its proper divisors (9740566265).

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

5628000400 is an equidigital number, since it uses as much as digits as its factorization.

5628000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 5628000400 is about 1778.7628064885.

Multiplying 5628000400 by its sum of digits (25), we get a square (140700010000 = 375100²).

5628000400 divided by its sum of digits (25) gives a square (225120016 = 15004²).

Adding to 5628000400 its reverse (40008265), we get a palindrome (5668008665).

The spelling of 5628000400 in words is "five billion, six hundred twenty-eight million, four hundred", and thus it is an aban number.