428797706400 has 1296 divisors, whose sum is σ = 1829272981536. Its totient is φ = 94163005440.

The previous prime is 428797706383. The next prime is 428797706429. The reversal of 428797706400 is 4607797824.

428797706400 is a `hidden beast` number, since 4 + 2 + 87 + 97 + 70 + 6 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1396735047 + ... + 1396735353.

It is an arithmetic number, because the mean of its divisors is an integer number (1411476066).

Almost surely, 2^428797706400 is an apocalyptic number.

428797706400 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 428797706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914636490768).

428797706400 is an abundant number, since it is smaller than the sum of its proper divisors (1400475275136).

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

428797706400 is a wasteful number, since it uses less digits than its factorization.

428797706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 428797706400 in words is "four hundred twenty-eight billion, seven hundred ninety-seven million, seven hundred six thousand, four hundred".