248183628 has 72 divisors (see below), whose sum is σ = 734900544. Its totient is φ = 64461600.

The previous prime is 248183623. The next prime is 248183633. The reversal of 248183628 is 826381842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248183623) and next prime (248183633).

It is a super-2 number, since 2×248183628² = 123190226414484768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 248183628.

It is not an unprimeable number, because it can be changed into a prime (248183623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12718 + ... + 25653.

It is an arithmetic number, because the mean of its divisors is an integer number (10206952).

Almost surely, 2^248183628 is an apocalyptic number.

248183628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248183628 is an abundant number, since it is smaller than the sum of its proper divisors (486716916).

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

248183628 is a wasteful number, since it uses less digits than its factorization.

248183628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38403 (or 38394 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 248183628 is about 15753.8448640324. The cubic root of 248183628 is about 628.4311582021.

The spelling of 248183628 in words is "two hundred forty-eight million, one hundred eighty-three thousand, six hundred twenty-eight".