248328993 has 32 divisors (see below), whose sum is σ = 381427200. Its totient is φ = 142128000.

The previous prime is 248328967. The next prime is 248329019. The reversal of 248328993 is 399823842.

248328993 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 (248328967) and next prime (248329019).

It is not a de Polignac number, because 248328993 - 2⁶ = 248328929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248328193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376498 + ... + 377156.

It is an arithmetic number, because the mean of its divisors is an integer number (11919600).

Almost surely, 2^248328993 is an apocalyptic number.

It is an amenable number.

248328993 is a deficient number, since it is larger than the sum of its proper divisors (133098207).

248328993 is a wasteful number, since it uses less digits than its factorization.

248328993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293.

The product of its digits is 746496, while the sum is 48.

The square root of 248328993 is about 15758.4578242923. The cubic root of 248328993 is about 628.5538282139.

The spelling of 248328993 in words is "two hundred forty-eight million, three hundred twenty-eight thousand, nine hundred ninety-three".