298978864128 has 1056 divisors, whose sum is σ = 1087261593600. Its totient is φ = 81935400960.

The previous prime is 298978864123. The next prime is 298978864133. The reversal of 298978864128 is 821468879892.

It is an interprime number because it is at equal distance from previous prime (298978864123) and next prime (298978864133).

It is a super-2 number, since 2×298978864128² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (298978864123) 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, 2645830600 + ... + 2645830712.

Almost surely, 2^298978864128 is an apocalyptic number.

298978864128 is a gapful number since it is divisible by the number (28) 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 298978864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543630796800).

298978864128 is an abundant number, since it is smaller than the sum of its proper divisors (788282729472).

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

298978864128 is an equidigital number, since it uses as much as digits as its factorization.

298978864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 156 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 72.

The spelling of 298978864128 in words is "two hundred ninety-eight billion, nine hundred seventy-eight million, eight hundred sixty-four thousand, one hundred twenty-eight".