248838528 has 64 divisors (see below), whose sum is σ = 670360320. Its totient is φ = 81768960.

The previous prime is 248838523. The next prime is 248838533. The reversal of 248838528 is 825838842.

248838528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248838523) and next prime (248838533).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×248838528² = 123841226034413568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248838521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22701 + ... + 31827.

It is an arithmetic number, because the mean of its divisors is an integer number (10474380).

Almost surely, 2^248838528 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 248838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335180160).

248838528 is an abundant number, since it is smaller than the sum of its proper divisors (421521792).

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

248838528 is an equidigital number, since it uses as much as digits as its factorization.

248838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215 (or 9203 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 248838528 is about 15774.6165722023. The cubic root of 248838528 is about 628.9834348835.

It can be divided in two parts, 24883 and 8528, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 248838528 in words is "two hundred forty-eight million, eight hundred thirty-eight thousand, five hundred twenty-eight".