52352928 has 144 divisors (see below), whose sum is σ = 162456840. Its totient is φ = 15980544.

The previous prime is 52352921. The next prime is 52352933. The reversal of 52352928 is 82925325.

It can be written as a sum of positive squares in 4 ways, for example, as 51667344 + 685584 = 7188^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52352892 and 52352901.

It is not an unprimeable number, because it can be changed into a prime (52352921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414926 + ... + 1414962.

Almost surely, 2^52352928 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 52352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81228420).

52352928 is an abundant number, since it is smaller than the sum of its proper divisors (110103912).

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

52352928 is a wasteful number, since it uses less digits than its factorization.

52352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52352928 is about 7235.5323231950. The cubic root of 52352928 is about 374.0936404646.

The spelling of 52352928 in words is "fifty-two million, three hundred fifty-two thousand, nine hundred twenty-eight".