278747872 has 96 divisors (see below), whose sum is σ = 612474912. Its totient is φ = 124084224.

The previous prime is 278747867. The next prime is 278747873.

278747872 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×278747872² = 155400752289056768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278747873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2034588 + ... + 2034724.

It is an arithmetic number, because the mean of its divisors is an integer number (6379947).

Almost surely, 2^278747872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 278747872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306237456).

278747872 is an abundant number, since it is smaller than the sum of its proper divisors (333727040).

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

278747872 is a wasteful number, since it uses less digits than its factorization.

278747872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 2458624, while the sum is 52.

The square root of 278747872 is about 16695.7441283700. The cubic root of 278747872 is about 653.2366157908.

The spelling of 278747872 in words is "two hundred seventy-eight million, seven hundred forty-seven thousand, eight hundred seventy-two".