52628736 has 144 divisors (see below), whose sum is σ = 154526400. Its totient is φ = 15826944.

The previous prime is 52628729. The next prime is 52628743. The reversal of 52628736 is 63782625.

It is an interprime number because it is at equal distance from previous prime (52628729) and next prime (52628743).

It is a junction number, because it is equal to n+sod(n) for n = 52628694 and 52628703.

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, 378555 + ... + 378693.

It is an arithmetic number, because the mean of its divisors is an integer number (1073100).

Almost surely, 2^52628736 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 52628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77263200).

52628736 is an abundant number, since it is smaller than the sum of its proper divisors (101897664).

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

52628736 is a wasteful number, since it uses less digits than its factorization.

52628736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 52628736 is about 7254.5665618285. The cubic root of 52628736 is about 374.7494290529.

The spelling of 52628736 in words is "fifty-two million, six hundred twenty-eight thousand, seven hundred thirty-six".