428311975000 has 384 divisors, whose sum is σ = 1256769561600. Its totient is φ = 133214400000.

The previous prime is 428311974977. The next prime is 428311975027. The reversal of 428311975000 is 579113824.

It is a super-2 number, since 2×428311975000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 134223405 + ... + 134226595.

It is an arithmetic number, because the mean of its divisors is an integer number (3272837400).

Almost surely, 2^428311975000 is an apocalyptic number.

428311975000 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 428311975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628384780800).

428311975000 is an abundant number, since it is smaller than the sum of its proper divisors (828457586600).

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

428311975000 is a wasteful number, since it uses less digits than its factorization.

428311975000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 428311975000 in words is "four hundred twenty-eight billion, three hundred eleven million, nine hundred seventy-five thousand".