428879304000 has 336 divisors, whose sum is σ = 1753342346496. Its totient is φ = 98029440000.

The previous prime is 428879303987. The next prime is 428879304083. The reversal of 428879304000 is 403978824.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78525 + ... + 929475.

Almost surely, 2^428879304000 is an apocalyptic number.

428879304000 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 428879304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876671173248).

428879304000 is an abundant number, since it is smaller than the sum of its proper divisors (1324463042496).

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

428879304000 is a wasteful number, since it uses less digits than its factorization.

428879304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850991 (or 850968 counting only the distinct ones).

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

The spelling of 428879304000 in words is "four hundred twenty-eight billion, eight hundred seventy-nine million, three hundred four thousand".