48584576628 has 240 divisors, whose sum is σ = 149676419200. Its totient is φ = 13735153152.

The previous prime is 48584576561. The next prime is 48584576633. The reversal of 48584576628 is 82667548584.

48584576628 is a `hidden beast` number, since 4 + 8 + 58 + 4 + 576 + 6 + 2 + 8 = 666.

It is a super-2 number, since 2×48584576628² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10777551 + ... + 10782057.

Almost surely, 2^48584576628 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 48584576628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74838209600).

48584576628 is an abundant number, since it is smaller than the sum of its proper divisors (101091842572).

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

48584576628 is a wasteful number, since it uses less digits than its factorization.

48584576628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4616 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 48584576628 in words is "forty-eight billion, five hundred eighty-four million, five hundred seventy-six thousand, six hundred twenty-eight".