248854928 has 90 divisors (see below), whose sum is σ = 576716994. Its totient is φ = 103713792.

The previous prime is 248854927. The next prime is 248854939. The reversal of 248854928 is 829458842.

It is a happy number.

248854928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 21086464 + 227768464 = 4592^2 + 15092^2 .

It is not an unprimeable number, because it can be changed into a prime (248854927) 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, 2202200 + ... + 2202312.

Almost surely, 2^248854928 is an apocalyptic number.

248854928 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 248854928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288358497).

248854928 is an abundant number, since it is smaller than the sum of its proper divisors (327862066).

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

248854928 is a wasteful number, since it uses less digits than its factorization.

248854928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 175 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

The square root of 248854928 is about 15775.1363860982. The cubic root of 248854928 is about 628.9972525478.

The spelling of 248854928 in words is "two hundred forty-eight million, eight hundred fifty-four thousand, nine hundred twenty-eight".