248160306828 has 192 divisors, whose sum is σ = 695020290048. Its totient is φ = 67429635840.

The previous prime is 248160306773. The next prime is 248160306871. The reversal of 248160306828 is 828603061842.

It is a super-3 number, since 3×248160306828³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35382250 + ... + 35389262.

It is an arithmetic number, because the mean of its divisors is an integer number (3619897344).

Almost surely, 2^248160306828 is an apocalyptic number.

248160306828 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 248160306828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347510145024).

248160306828 is an abundant number, since it is smaller than the sum of its proper divisors (446859983220).

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

248160306828 is a wasteful number, since it uses less digits than its factorization.

248160306828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 248160306828 in words is "two hundred forty-eight billion, one hundred sixty million, three hundred six thousand, eight hundred twenty-eight".