428933762400 has 864 divisors, whose sum is σ = 1664461467648. Its totient is φ = 95103590400.

The previous prime is 428933762359. The next prime is 428933762407. The reversal of 428933762400 is 4267339824.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428933762400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428933762407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 566622822 + ... + 566623578.

It is an arithmetic number, because the mean of its divisors is an integer number (1926460032).

Almost surely, 2^428933762400 is an apocalyptic number.

428933762400 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 428933762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832230733824).

428933762400 is an abundant number, since it is smaller than the sum of its proper divisors (1235527705248).

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

428933762400 is a wasteful number, since it uses less digits than its factorization.

428933762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 428933762400 in words is "four hundred twenty-eight billion, nine hundred thirty-three million, seven hundred sixty-two thousand, four hundred".