54628342272 has 640 divisors, whose sum is σ = 193862592000. Its totient is φ = 15173222400.

The previous prime is 54628342247. The next prime is 54628342297. The reversal of 54628342272 is 27224382645.

54628342272 is a `hidden beast` number, since 5 + 462 + 83 + 42 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (54628342247) and next prime (54628342297).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194406772 + ... + 194407052.

It is an arithmetic number, because the mean of its divisors is an integer number (302910300).

Almost surely, 2^54628342272 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 54628342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96931296000).

54628342272 is an abundant number, since it is smaller than the sum of its proper divisors (139234249728).

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

54628342272 is an equidigital number, since it uses as much as digits as its factorization.

54628342272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 334 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

It can be divided in two parts, 54628 and 342272, that added together give a square (396900 = 630²).

The spelling of 54628342272 in words is "fifty-four billion, six hundred twenty-eight million, three hundred forty-two thousand, two hundred seventy-two".