54628464 has 80 divisors (see below), whose sum is σ = 155168640. Its totient is φ = 16423680.

The previous prime is 54628459. The next prime is 54628471. The reversal of 54628464 is 46482645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82567 + ... + 83225.

It is an arithmetic number, because the mean of its divisors is an integer number (1939608).

Almost surely, 2^54628464 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 54628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77584320).

54628464 is an abundant number, since it is smaller than the sum of its proper divisors (100540176).

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

54628464 is a wasteful number, since it uses less digits than its factorization.

54628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 54628464 is about 7391.1070889279. The cubic root of 54628464 is about 379.4369871128.

The spelling of 54628464 in words is "fifty-four million, six hundred twenty-eight thousand, four hundred sixty-four".