428195976384 has 224 divisors, whose sum is σ = 1345843180800. Its totient is φ = 118687887360.

The previous prime is 428195976379. The next prime is 428195976391. The reversal of 428195976384 is 483679591824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979734 + ... + 1347690.

Almost surely, 2^428195976384 is an apocalyptic number.

428195976384 is a gapful number since it is divisible by the number (44) 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 428195976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672921590400).

428195976384 is an abundant number, since it is smaller than the sum of its proper divisors (917647204416).

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

428195976384 is a wasteful number, since it uses less digits than its factorization.

428195976384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368031 (or 368021 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 428195976384 in words is "four hundred twenty-eight billion, one hundred ninety-five million, nine hundred seventy-six thousand, three hundred eighty-four".