5725828000 has 96 divisors (see below), whose sum is σ = 14261803920. Its totient is φ = 2258841600.

The previous prime is 5725827997. The next prime is 5725828001. The reversal of 5725828000 is 8285275.

It can be written as a sum of positive squares in 8 ways, for example, as 1746236944 + 3979591056 = 41788^2 + 63084^2 .

It is not an unprimeable number, because it can be changed into a prime (5725828001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282196 + ... + 301804.

Almost surely, 2^5725828000 is an apocalyptic number.

5725828000 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 5725828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130901960).

5725828000 is an abundant number, since it is smaller than the sum of its proper divisors (8535975920).

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

5725828000 is a wasteful number, since it uses less digits than its factorization.

5725828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19707 (or 19689 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 5725828000 is about 75669.2011322969. The cubic root of 5725828000 is about 1789.0099911300.

It can be divided in two parts, 57258 and 28000, that added together give a palindrome (85258).

The spelling of 5725828000 in words is "five billion, seven hundred twenty-five million, eight hundred twenty-eight thousand".