428791958400 has 768 divisors, whose sum is σ = 1582970558400. Its totient is φ = 101292441600.

The previous prime is 428791958393. The next prime is 428791958401. The reversal of 428791958400 is 4859197824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428791958401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 930134170 + ... + 930134630.

Almost surely, 2^428791958400 is an apocalyptic number.

428791958400 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 428791958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791485279200).

428791958400 is an abundant number, since it is smaller than the sum of its proper divisors (1154178600000).

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

428791958400 is a wasteful number, since it uses less digits than its factorization.

428791958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 428791958400 in words is "four hundred twenty-eight billion, seven hundred ninety-one million, nine hundred fifty-eight thousand, four hundred".