54167328 has 108 divisors (see below), whose sum is σ = 162884358. Its totient is φ = 17072640.

The previous prime is 54167279. The next prime is 54167339. The reversal of 54167328 is 82376145.

It can be written as a sum of positive squares in only one way, i.e., 49956624 + 4210704 = 7068^2 + 2052^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 54167292 and 54167301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103708 + ... + 104228.

Almost surely, 2^54167328 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 54167328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81442179).

54167328 is an abundant number, since it is smaller than the sum of its proper divisors (108717030).

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

54167328 is a wasteful number, since it uses less digits than its factorization.

54167328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 545 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 54167328 is about 7359.8456505555. The cubic root of 54167328 is about 378.3663199496.

The spelling of 54167328 in words is "fifty-four million, one hundred sixty-seven thousand, three hundred twenty-eight".