248387328 has 108 divisors (see below), whose sum is σ = 818523888. Its totient is φ = 70963200.

The previous prime is 248387311. The next prime is 248387329. The reversal of 248387328 is 823783842.

248387328 is a `hidden beast` number, since 248 + 3 + 87 + 328 = 666.

It is a super-3 number, since 3×248387328³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248387329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8428 + ... + 23828.

Almost surely, 2^248387328 is an apocalyptic number.

248387328 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 248387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409261944).

248387328 is an abundant number, since it is smaller than the sum of its proper divisors (570136560).

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

248387328 is a wasteful number, since it uses less digits than its factorization.

248387328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430 (or 15413 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 248387328 is about 15760.3086264197. The cubic root of 248387328 is about 628.6030422510.

The spelling of 248387328 in words is "two hundred forty-eight million, three hundred eighty-seven thousand, three hundred twenty-eight".