268028296272 has 240 divisors, whose sum is σ = 850873540608. Its totient is φ = 81003680640.

The previous prime is 268028296241. The next prime is 268028296297. The reversal of 268028296272 is 272692820862.

268028296272 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 2 + 8 + 2 + 9 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16371963 + ... + 16388325.

Almost surely, 2^268028296272 is an apocalyptic number.

268028296272 is a gapful number since it is divisible by the number (22) 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 268028296272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425436770304).

268028296272 is an abundant number, since it is smaller than the sum of its proper divisors (582845244336).

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

268028296272 is a wasteful number, since it uses less digits than its factorization.

268028296272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16780 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 268028296272 in words is "two hundred sixty-eight billion, twenty-eight million, two hundred ninety-six thousand, two hundred seventy-two".