298428715200 has 672 divisors, whose sum is σ = 1223475978240. Its totient is φ = 61869772800.

The previous prime is 298428715199. The next prime is 298428715217. The reversal of 298428715200 is 2517824892.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×298428715200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 298428715200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265741839 + ... + 265742961.

Almost surely, 2^298428715200 is an apocalyptic number.

298428715200 is a gapful number since it is divisible by the number (20) 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 298428715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611737989120).

298428715200 is an abundant number, since it is smaller than the sum of its proper divisors (925047263040).

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

298428715200 is a wasteful number, since it uses less digits than its factorization.

298428715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 298428715200 in words is "two hundred ninety-eight billion, four hundred twenty-eight million, seven hundred fifteen thousand, two hundred".