270248328 has 192 divisors, whose sum is σ = 883584000. Its totient is φ = 74511360.

The previous prime is 270248299. The next prime is 270248353. The reversal of 270248328 is 823842072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 270248292 and 270248301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765400 + ... + 765752.

It is an arithmetic number, because the mean of its divisors is an integer number (4602000).

Almost surely, 2^270248328 is an apocalyptic number.

270248328 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 270248328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441792000).

270248328 is an abundant number, since it is smaller than the sum of its proper divisors (613335672).

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

270248328 is a wasteful number, since it uses less digits than its factorization.

270248328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 270248328 is about 16439.2313688931. The cubic root of 270248328 is about 646.5284968319.

The spelling of 270248328 in words is "two hundred seventy million, two hundred forty-eight thousand, three hundred twenty-eight".