54851328 has 216 divisors, whose sum is σ = 191318400. Its totient is φ = 14764032.

The previous prime is 54851249. The next prime is 54851339. The reversal of 54851328 is 82315845.

It is a happy number.

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 = 54851292 and 54851301.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 306343 + ... + 306521.

Almost surely, 2^54851328 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 54851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659200).

54851328 is an abundant number, since it is smaller than the sum of its proper divisors (136467072).

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

54851328 is a wasteful number, since it uses less digits than its factorization.

54851328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

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

The square root of 54851328 is about 7406.1682400550. The cubic root of 54851328 is about 379.9522747080.

The spelling of 54851328 in words is "fifty-four million, eight hundred fifty-one thousand, three hundred twenty-eight".