488628861820920 has 192 divisors, whose sum is σ = 1681471167948000. Its totient is φ = 122635313332224.

The previous prime is 488628861820867. The next prime is 488628861820933. The reversal of 488628861820920 is 29028168826884.

488628861820920 is a `hidden beast` number, since 4 + 8 + 86 + 288 + 6 + 182 + 0 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123224811 + ... + 1123659749.

Almost surely, 2^{488628861820920} is an apocalyptic number.

488628861820920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488628861820920 is an abundant number, since it is smaller than the sum of its proper divisors (1192842306127080).

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

488628861820920 is a wasteful number, since it uses less digits than its factorization.

488628861820920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618542 (or 618535 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 488628861820920 in words is "four hundred eighty-eight trillion, six hundred twenty-eight billion, eight hundred sixty-one million, eight hundred twenty thousand, nine hundred twenty".