247984128 has 234 divisors, whose sum is σ = 845900952. Its totient is φ = 68567040.

The previous prime is 247984123. The next prime is 247984153. The reversal of 247984128 is 821489742.

It is a super-2 number, since 2×247984128² = 122992255479840768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247984123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7999473 + ... + 7999503.

Almost surely, 2^247984128 is an apocalyptic number.

247984128 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 247984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422950476).

247984128 is an abundant number, since it is smaller than the sum of its proper divisors (597916824).

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

247984128 is an equidigital number, since it uses as much as digits as its factorization.

247984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 43 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 247984128 is about 15747.5118034564. The cubic root of 247984128 is about 628.2627269682.

Multiplying 247984128 by its product of digits (258048), we get a square (63991808262144 = 7999488²).

247984128 divided by its product of digits (258048) gives a square (961 = 31²).

The spelling of 247984128 in words is "two hundred forty-seven million, nine hundred eighty-four thousand, one hundred twenty-eight".