428859999360 has 512 divisors, whose sum is σ = 1692145728000. Its totient is φ = 101923799040.

The previous prime is 428859999283. The next prime is 428859999397. The reversal of 428859999360 is 63999958824.

428859999360 is a `hidden beast` number, since 4 + 28 + 8 + 599 + 9 + 9 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6481645 + ... + 6547475.

It is an arithmetic number, because the mean of its divisors is an integer number (3304972125).

Almost surely, 2^428859999360 is an apocalyptic number.

428859999360 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 428859999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846072864000).

428859999360 is an abundant number, since it is smaller than the sum of its proper divisors (1263285728640).

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

428859999360 is a wasteful number, since it uses less digits than its factorization.

428859999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65901 (or 65883 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 428859999360 in words is "four hundred twenty-eight billion, eight hundred fifty-nine million, nine hundred ninety-nine thousand, three hundred sixty".