52128640 has 64 divisors (see below), whose sum is σ = 127344960. Its totient is φ = 20396032.

The previous prime is 52128623. The next prime is 52128667. The reversal of 52128640 is 4682125.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 52128599 and 52128608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29214 + ... + 30946.

It is an arithmetic number, because the mean of its divisors is an integer number (1989765).

Almost surely, 2^52128640 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 52128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63672480).

52128640 is an abundant number, since it is smaller than the sum of its proper divisors (75216320).

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

52128640 is a wasteful number, since it uses less digits than its factorization.

52128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 52128640 is about 7220.0166204795. The cubic root of 52128640 is about 373.5586508351.

It can be divided in two parts, 521 and 28640, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 52128640 in words is "fifty-two million, one hundred twenty-eight thousand, six hundred forty".