5629152900 has 144 divisors (see below), whose sum is σ = 18849904640. Its totient is φ = 1270339200.

The previous prime is 5629152883. The next prime is 5629152913. The reversal of 5629152900 is 92519265.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148935 + ... + 182865.

Almost surely, 2^5629152900 is an apocalyptic number.

5629152900 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 5629152900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424952320).

5629152900 is an abundant number, since it is smaller than the sum of its proper divisors (13220751740).

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

5629152900 is a wasteful number, since it uses less digits than its factorization.

5629152900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34034 (or 34027 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 5629152900 is about 75027.6808917882. The cubic root of 5629152900 is about 1778.8842163482.

The spelling of 5629152900 in words is "five billion, six hundred twenty-nine million, one hundred fifty-two thousand, nine hundred".