52428960 has 144 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 13364736.

The previous prime is 52428953. The next prime is 52428973. The reversal of 52428960 is 6982425.

It is a happy number.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32329 + ... + 33911.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^52428960 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 52428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).

52428960 is an abundant number, since it is smaller than the sum of its proper divisors (134381664).

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

52428960 is a wasteful number, since it uses less digits than its factorization.

52428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52428960 is about 7240.7844878853. The cubic root of 52428960 is about 374.2746512223.

The spelling of 52428960 in words is "fifty-two million, four hundred twenty-eight thousand, nine hundred sixty".