428607010944 has 576 divisors, whose sum is σ = 1464416366400. Its totient is φ = 119949742080.

The previous prime is 428607010883. The next prime is 428607010957. The reversal of 428607010944 is 449010706824.

428607010944 is a `hidden beast` number, since 4 + 28 + 607 + 0 + 10 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×428607010944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428607010944.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917787799 + ... + 917788265.

It is an arithmetic number, because the mean of its divisors is an integer number (2542389525).

Almost surely, 2^428607010944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428607010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732208183200).

428607010944 is an abundant number, since it is smaller than the sum of its proper divisors (1035809355456).

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

428607010944 is a wasteful number, since it uses less digits than its factorization.

428607010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 428607010944 in words is "four hundred twenty-eight billion, six hundred seven million, ten thousand, nine hundred forty-four".