428429760000 has 800 divisors, whose sum is σ = 1610709408000. Its totient is φ = 100208640000.

The previous prime is 428429759993. The next prime is 428429760019. The reversal of 428429760000 is 67924824.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306239301 + ... + 306240699.

It is an arithmetic number, because the mean of its divisors is an integer number (2013386760).

Almost surely, 2^428429760000 is an apocalyptic number.

428429760000 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 428429760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805354704000).

428429760000 is an abundant number, since it is smaller than the sum of its proper divisors (1182279648000).

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

428429760000 is a wasteful number, since it uses less digits than its factorization.

428429760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 428429760000 in words is "four hundred twenty-eight billion, four hundred twenty-nine million, seven hundred sixty thousand".