247328928 has 288 divisors, whose sum is σ = 924618240. Its totient is φ = 60756480.

The previous prime is 247328839. The next prime is 247328989. The reversal of 247328928 is 829823742.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×247328928² = 122343197251258368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421051 + ... + 421637.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^247328928 is an apocalyptic number.

247328928 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 247328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

247328928 is an abundant number, since it is smaller than the sum of its proper divisors (677289312).

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

247328928 is a wasteful number, since it uses less digits than its factorization.

247328928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 247328928 is about 15726.6947576406. The cubic root of 247328928 is about 627.7089270065.

The spelling of 247328928 in words is "two hundred forty-seven million, three hundred twenty-eight thousand, nine hundred twenty-eight".