5629338456 has 64 divisors (see below), whose sum is σ = 16154169600. Its totient is φ = 1601347968.

The previous prime is 5629338433. The next prime is 5629338511. The reversal of 5629338456 is 6548339265.

It is a junction number, because it is equal to n+sod(n) for n = 5629338399 and 5629338408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34690 + ... + 111633.

It is an arithmetic number, because the mean of its divisors is an integer number (252408900).

Almost surely, 2^5629338456 is an apocalyptic number.

5629338456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5629338456 is an abundant number, since it is smaller than the sum of its proper divisors (10524831144).

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

5629338456 is a wasteful number, since it uses less digits than its factorization.

5629338456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146568 (or 146564 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The square root of 5629338456 is about 75028.9174652014. The cubic root of 5629338456 is about 1778.9037621554.

It can be divided in two parts, 56293 and 38456, that added together give a palindrome (94749).

The spelling of 5629338456 in words is "five billion, six hundred twenty-nine million, three hundred thirty-eight thousand, four hundred fifty-six".