52792992 has 288 divisors, whose sum is σ = 189604800. Its totient is φ = 14224896.

The previous prime is 52792967. The next prime is 52792997. The reversal of 52792992 is 29929725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (204120) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (52792997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227723 + ... + 1227765.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 2^52792992 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 52792992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400).

52792992 is an abundant number, since it is smaller than the sum of its proper divisors (136811808).

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

52792992 is a wasteful number, since it uses less digits than its factorization.

52792992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 52792992 is about 7265.8786117028. The cubic root of 52792992 is about 375.1388925506.

The spelling of 52792992 in words is "fifty-two million, seven hundred ninety-two thousand, nine hundred ninety-two".