54952128 has 336 divisors, whose sum is σ = 208483200. Its totient is φ = 14031360.

The previous prime is 54952111. The next prime is 54952159. The reversal of 54952128 is 82125945.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 54952092 and 54952101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931363 + ... + 931421.

Almost surely, 2^54952128 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 54952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241600).

54952128 is an abundant number, since it is smaller than the sum of its proper divisors (153531072).

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

54952128 is a wasteful number, since it uses less digits than its factorization.

54952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 54952128 is about 7412.9702548978. The cubic root of 54952128 is about 380.1848777210.

The spelling of 54952128 in words is "fifty-four million, nine hundred fifty-two thousand, one hundred twenty-eight".