428926675968 has 1056 divisors, whose sum is σ = 1560698304000. Its totient is φ = 115880067072.

The previous prime is 428926675967. The next prime is 428926675987. The reversal of 428926675968 is 869576629824.

It is a happy number.

428926675968 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 26 + 6 + 7 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 428926675896 and 428926675905.

It is not an unprimeable number, because it can be changed into a prime (428926675967) 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, 2155410333 + ... + 2155410531.

It is an arithmetic number, because the mean of its divisors is an integer number (1477934000).

Almost surely, 2^428926675968 is an apocalyptic number.

428926675968 is a gapful number since it is divisible by the number (48) 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 428926675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780349152000).

428926675968 is an abundant number, since it is smaller than the sum of its proper divisors (1131771628032).

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

428926675968 is a wasteful number, since it uses less digits than its factorization.

428926675968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 291 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 428926675968 in words is "four hundred twenty-eight billion, nine hundred twenty-six million, six hundred seventy-five thousand, nine hundred sixty-eight".