5728125600 has 180 divisors, whose sum is σ = 20889596574. Its totient is φ = 1527482880.

The previous prime is 5728125593. The next prime is 5728125607. The reversal of 5728125600 is 65218275.

It is a happy number.

5728125600 is a `hidden beast` number, since 5 + 7 + 28 + 1 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5728125593) and next prime (5728125607).

It can be written as a sum of positive squares in 3 ways, for example, as 3601440144 + 2126685456 = 60012^2 + 46116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×5728125600² = 65622845778750720000, which 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 (5728125607) 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, 20602 + ... + 108998.

Almost surely, 2^5728125600 is an apocalyptic number.

5728125600 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 5728125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444798287).

5728125600 is an abundant number, since it is smaller than the sum of its proper divisors (15161470974).

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

5728125600 is a wasteful number, since it uses less digits than its factorization.

5728125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88429 (or 88407 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5728125600 is about 75684.3814799328. The cubic root of 5728125600 is about 1789.2492508308.

It can be divided in two parts, 5728 and 125600, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 5728125600 in words is "five billion, seven hundred twenty-eight million, one hundred twenty-five thousand, six hundred".