428953904064 has 448 divisors, whose sum is σ = 1554801868800. Its totient is φ = 113169678336.

The previous prime is 428953904033. The next prime is 428953904101. The reversal of 428953904064 is 460409359824.

428953904064 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 539 + 0 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 428953904064.

It is a congruent number.

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, 10878817 + ... + 10918175.

Almost surely, 2^428953904064 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 428953904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777400934400).

428953904064 is an abundant number, since it is smaller than the sum of its proper divisors (1125847964736).

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

428953904064 is a wasteful number, since it uses less digits than its factorization.

428953904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39457 (or 39441 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 428953904064 in words is "four hundred twenty-eight billion, nine hundred fifty-three million, nine hundred four thousand, sixty-four".