54587628 has 72 divisors (see below), whose sum is σ = 146815760. Its totient is φ = 17539200.

The previous prime is 54587563. The next prime is 54587639. The reversal of 54587628 is 82678545.

54587628 is a `hidden beast` number, since 5 + 4 + 587 + 62 + 8 = 666.

Its product of digits (537600) is a multiple of the sum of its prime factors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90528 + ... + 91128.

Almost surely, 2^54587628 is an apocalyptic number.

54587628 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 54587628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73407880).

54587628 is an abundant number, since it is smaller than the sum of its proper divisors (92228132).

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

54587628 is a wasteful number, since it uses less digits than its factorization.

54587628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 635 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 54587628 is about 7388.3440634556. The cubic root of 54587628 is about 379.3424176634.

The spelling of 54587628 in words is "fifty-four million, five hundred eighty-seven thousand, six hundred twenty-eight".