55926528 has 144 divisors (see below), whose sum is σ = 173462016. Its totient is φ = 15667200.

The previous prime is 55926517. The next prime is 55926539. The reversal of 55926528 is 82562955.

It is an interprime number because it is at equal distance from previous prime (55926517) and next prime (55926539).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (216000) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 55926528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542925 + ... + 543027.

Almost surely, 2^55926528 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 55926528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86731008).

55926528 is an abundant number, since it is smaller than the sum of its proper divisors (117535488).

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

55926528 is a wasteful number, since it uses less digits than its factorization.

55926528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 55926528 is about 7478.4041078294. The cubic root of 55926528 is about 382.4188456134.

The spelling of 55926528 in words is "fifty-five million, nine hundred twenty-six thousand, five hundred twenty-eight".