5262928000 has 256 divisors, whose sum is σ = 15122764800. Its totient is φ = 1800192000.

The previous prime is 5262927997. The next prime is 5262928003. The reversal of 5262928000 is 8292625.

It is an interprime number because it is at equal distance from previous prime (5262927997) and next prime (5262928003).

It is a super-2 number, since 2×5262928000² = 55396822266368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5262928003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2991121 + ... + 2992879.

It is an arithmetic number, because the mean of its divisors is an integer number (59073300).

Almost surely, 2^5262928000 is an apocalyptic number.

5262928000 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 5262928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561382400).

5262928000 is an abundant number, since it is smaller than the sum of its proper divisors (9859836800).

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

5262928000 is a wasteful number, since it uses less digits than its factorization.

5262928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 5262928000 is about 72546.0405535685. The cubic root of 5262928000 is about 1739.4387585236.

The spelling of 5262928000 in words is "five billion, two hundred sixty-two million, nine hundred twenty-eight thousand".