428196332520 has 768 divisors, whose sum is σ = 1746800640000. Its totient is φ = 89562931200.

The previous prime is 428196332507. The next prime is 428196332563. The reversal of 428196332520 is 25233691824.

428196332520 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 9 + 633 + 2 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39646081 + ... + 39656879.

It is an arithmetic number, because the mean of its divisors is an integer number (2274480000).

Almost surely, 2^428196332520 is an apocalyptic number.

428196332520 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 428196332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873400320000).

428196332520 is an abundant number, since it is smaller than the sum of its proper divisors (1318604307480).

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

428196332520 is a wasteful number, since it uses less digits than its factorization.

428196332520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10887 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 428196332520 in words is "four hundred twenty-eight billion, one hundred ninety-six million, three hundred thirty-two thousand, five hundred twenty".