54728100 has 324 divisors, whose sum is σ = 214181604. Its totient is φ = 11612160.

The previous prime is 54728099. The next prime is 54728129. The reversal of 54728100 is 182745.

It can be written as a sum of positive squares in 6 ways, for example, as 86436 + 54641664 = 294^2 + 7392^2 .

It is a super-2 number, since 2×54728100² = 5990329859220000, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 749664 + ... + 749736.

Almost surely, 2^54728100 is an apocalyptic number.

54728100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107090802).

54728100 is an abundant number, since it is smaller than the sum of its proper divisors (159453504).

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

54728100 is a wasteful number, since it uses less digits than its factorization.

54728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 54728100 is about 7397.8442805996. The cubic root of 54728100 is about 379.6675300679.

The spelling of 54728100 in words is "fifty-four million, seven hundred twenty-eight thousand, one hundred".