54728640 has 168 divisors, whose sum is σ = 194633088. Its totient is φ = 14100480.

The previous prime is 54728617. The next prime is 54728647. The reversal of 54728640 is 4682745.

54728640 is a `hidden beast` number, since 5 + 4 + 7 + 2 + 8 + 640 = 666.

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 = 54728595 and 54728604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54728647) by changing a digit.

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, 88974 + ... + 89586.

Almost surely, 2^54728640 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 54728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97316544).

54728640 is an abundant number, since it is smaller than the sum of its proper divisors (139904448).

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

54728640 is a wasteful number, since it uses less digits than its factorization.

54728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54728640 is about 7397.8807776281. The cubic root of 54728640 is about 379.6687787853.

The spelling of 54728640 in words is "fifty-four million, seven hundred twenty-eight thousand, six hundred forty".