428618259720 has 128 divisors (see below), whose sum is σ = 1632831494400. Its totient is φ = 97969886208.

The previous prime is 428618259701. The next prime is 428618259791. The reversal of 428618259720 is 27952816824.

428618259720 is a `hidden beast` number, since 4 + 28 + 6 + 1 + 8 + 2 + 597 + 20 = 666.

It is a super-2 number, since 2×428618259720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28340209 + ... + 28355328.

It is an arithmetic number, because the mean of its divisors is an integer number (12756496050).

Almost surely, 2^428618259720 is an apocalyptic number.

428618259720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428618259720 is an abundant number, since it is smaller than the sum of its proper divisors (1204213234680).

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

428618259720 is a wasteful number, since it uses less digits than its factorization.

428618259720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56695564 (or 56695554 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 428618259720 in words is "four hundred twenty-eight billion, six hundred eighteen million, two hundred fifty-nine thousand, seven hundred twenty".