428824978920 has 384 divisors, whose sum is σ = 1593781207200. Its totient is φ = 99059761152.

The previous prime is 428824978891. The next prime is 428824978943. The reversal of 428824978920 is 29879428824.

428824978920 is a `hidden beast` number, since 42 + 8 + 8 + 2 + 497 + 89 + 20 = 666.

428824978920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 17454108996 + 411370869924 = 132114^2 + 641382^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28077046 + ... + 28092314.

Almost surely, 2^428824978920 is an apocalyptic number.

428824978920 is a gapful number since it is divisible by the number (40) 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 428824978920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796890603600).

428824978920 is an abundant number, since it is smaller than the sum of its proper divisors (1164956228280).

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

428824978920 is a wasteful number, since it uses less digits than its factorization.

428824978920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669 (or 15662 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 428824978920 in words is "four hundred twenty-eight billion, eight hundred twenty-four million, nine hundred seventy-eight thousand, nine hundred twenty".