52629828408 has 112 divisors (see below), whose sum is σ = 148520599920. Its totient is φ = 17476062336.

The previous prime is 52629828359. The next prime is 52629828413. The reversal of 52629828408 is 80482892625.

It is a happy number.

52629828408 is a `hidden beast` number, since 5 + 2 + 629 + 8 + 2 + 8 + 4 + 0 + 8 = 666.

52629828408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1516660 + ... + 1550972.

It is an arithmetic number, because the mean of its divisors is an integer number (1326076785).

Almost surely, 2^52629828408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52629828408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74260299960).

52629828408 is an abundant number, since it is smaller than the sum of its proper divisors (95890771512).

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

52629828408 is a wasteful number, since it uses less digits than its factorization.

52629828408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34600 (or 34581 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 52629828408 in words is "fifty-two billion, six hundred twenty-nine million, eight hundred twenty-eight thousand, four hundred eight".