55038288 has 80 divisors (see below), whose sum is σ = 154900800. Its totient is φ = 16773120.

The previous prime is 55038283. The next prime is 55038293. The reversal of 55038288 is 88283055.

It is an interprime number because it is at equal distance from previous prime (55038283) and next prime (55038293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55038281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25408 + ... + 27488.

It is an arithmetic number, because the mean of its divisors is an integer number (1936260).

Almost surely, 2^55038288 is an apocalyptic number.

55038288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55038288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77450400).

55038288 is an abundant number, since it is smaller than the sum of its proper divisors (99862512).

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

55038288 is a wasteful number, since it uses less digits than its factorization.

55038288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 55038288 is about 7418.7794144320. The cubic root of 55038288 is about 380.3834725421.

The spelling of 55038288 in words is "fifty-five million, thirty-eight thousand, two hundred eighty-eight".