52628160 has 112 divisors (see below), whose sum is σ = 179990496. Its totient is φ = 12951552.

The previous prime is 52628131. The next prime is 52628179. The reversal of 52628160 is 6182625.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10372 + ... + 14588.

It is an arithmetic number, because the mean of its divisors is an integer number (1607058).

Almost surely, 2^52628160 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 52628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89995248).

52628160 is an abundant number, since it is smaller than the sum of its proper divisors (127362336).

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

52628160 is a wasteful number, since it uses less digits than its factorization.

52628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 52628160 is about 7254.5268625872. The cubic root of 52628160 is about 374.7480618882.

The spelling of 52628160 in words is "fifty-two million, six hundred twenty-eight thousand, one hundred sixty".