5292982800 has 480 divisors, whose sum is σ = 21953237760. Its totient is φ = 1186099200.

The previous prime is 5292982777. The next prime is 5292982823. The reversal of 5292982800 is 82892925.

It is an interprime number because it is at equal distance from previous prime (5292982777) and next prime (5292982823).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4006140 + ... + 4007460.

It is an arithmetic number, because the mean of its divisors is an integer number (45735912).

Almost surely, 2^5292982800 is an apocalyptic number.

5292982800 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 5292982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10976618880).

5292982800 is an abundant number, since it is smaller than the sum of its proper divisors (16660254960).

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

5292982800 is a wasteful number, since it uses less digits than its factorization.

5292982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5292982800 is about 72752.8886024466. Note that the first 3 decimals coincide. The cubic root of 5292982800 is about 1742.7435908410.

The spelling of 5292982800 in words is "five billion, two hundred ninety-two million, nine hundred eighty-two thousand, eight hundred".