54158328 has 256 divisors, whose sum is σ = 190080000. Its totient is φ = 14224896.

The previous prime is 54158323. The next prime is 54158339. The reversal of 54158328 is 82385145.

It is a happy number.

54158328 is a `hidden beast` number, since 54 + 1 + 583 + 28 = 666.

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

Its product of digits (38400) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54158292 and 54158301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54158323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1259475 + ... + 1259517.

It is an arithmetic number, because the mean of its divisors is an integer number (742500).

Almost surely, 2^54158328 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 54158328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040000).

54158328 is an abundant number, since it is smaller than the sum of its proper divisors (135921672).

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

54158328 is a wasteful number, since it uses less digits than its factorization.

54158328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 54158328 is about 7359.2341992900. The cubic root of 54158328 is about 378.3453633716.

The spelling of 54158328 in words is "fifty-four million, one hundred fifty-eight thousand, three hundred twenty-eight".