54027792 has 360 divisors, whose sum is σ = 205820160. Its totient is φ = 13063680.

The previous prime is 54027781. The next prime is 54027803. The reversal of 54027792 is 29772045.

54027792 is a `hidden beast` number, since 540 + 27 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (54027781) and next prime (54027803).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1742817 + ... + 1742847.

Almost surely, 2^54027792 is an apocalyptic number.

54027792 is a gapful number since it is divisible by the number (52) 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 54027792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910080).

54027792 is an abundant number, since it is smaller than the sum of its proper divisors (151792368).

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

54027792 is a wasteful number, since it uses less digits than its factorization.

54027792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 54027792 is about 7350.3599911841. The cubic root of 54027792 is about 378.0411477840.

The spelling of 54027792 in words is "fifty-four million, twenty-seven thousand, seven hundred ninety-two".