56288352 has 48 divisors (see below), whose sum is σ = 148684032. Its totient is φ = 18645120.

The previous prime is 56288347. The next prime is 56288357. The reversal of 56288352 is 25388265.

It is an interprime number because it is at equal distance from previous prime (56288347) and next prime (56288357).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56288352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56288357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14277 + ... + 17787.

It is an arithmetic number, because the mean of its divisors is an integer number (3097584).

Almost surely, 2^56288352 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 56288352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74342016).

56288352 is an abundant number, since it is smaller than the sum of its proper divisors (92395680).

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

56288352 is a wasteful number, since it uses less digits than its factorization.

56288352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3683 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 56288352 is about 7502.5563643334. The cubic root of 56288352 is about 383.2417764116.

The spelling of 56288352 in words is "fifty-six million, two hundred eighty-eight thousand, three hundred fifty-two".