1428979968 has 504 divisors, whose sum is σ = 5004366080. Its totient is φ = 403107840.

The previous prime is 1428979957. The next prime is 1428979969. The reversal of 1428979968 is 8699798241.

It is not an unprimeable number, because it can be changed into a prime (1428979969) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46096113 + ... + 46096143.

Almost surely, 2^1428979968 is an apocalyptic number.

1428979968 is a gapful number since it is divisible by the number (18) 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 1428979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502183040).

1428979968 is an abundant number, since it is smaller than the sum of its proper divisors (3575386112).

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

1428979968 is an equidigital number, since it uses as much as digits as its factorization.

1428979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The square root of 1428979968 is about 37801.8513832325. The cubic root of 1428979968 is about 1126.3552307663.

The spelling of 1428979968 in words is "one billion, four hundred twenty-eight million, nine hundred seventy-nine thousand, nine hundred sixty-eight".