428994048000 has 832 divisors, whose sum is σ = 1728152644608. Its totient is φ = 92248473600.

The previous prime is 428994047969. The next prime is 428994048001. The reversal of 428994048000 is 840499824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428994048001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182782827 + ... + 182785173.

It is an arithmetic number, because the mean of its divisors is an integer number (2077106544).

Almost surely, 2^428994048000 is an apocalyptic number.

428994048000 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 428994048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864076322304).

428994048000 is an abundant number, since it is smaller than the sum of its proper divisors (1299158596608).

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

428994048000 is a wasteful number, since it uses less digits than its factorization.

428994048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 428994048000 in words is "four hundred twenty-eight billion, nine hundred ninety-four million, forty-eight thousand".