248381328 has 120 divisors (see below), whose sum is σ = 706719648. Its totient is φ = 75119616.

The previous prime is 248381297. The next prime is 248381363. The reversal of 248381328 is 823183842.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 543276 + ... + 543732.

Almost surely, 2^248381328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353359824).

248381328 is an abundant number, since it is smaller than the sum of its proper divisors (458338320).

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

248381328 is a wasteful number, since it uses less digits than its factorization.

248381328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 248381328 is about 15760.1182736679. The cubic root of 248381328 is about 628.5979807359.

The spelling of 248381328 in words is "two hundred forty-eight million, three hundred eighty-one thousand, three hundred twenty-eight".