278428800 has 384 divisors, whose sum is σ = 1041183360. Its totient is φ = 64880640.

The previous prime is 278428783. The next prime is 278428807. The reversal of 278428800 is 8824872.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (278428807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2870352 + ... + 2870448.

It is an arithmetic number, because the mean of its divisors is an integer number (2711415).

Almost surely, 2^278428800 is an apocalyptic number.

278428800 is a gapful number since it is divisible by the number (20) 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 278428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520591680).

278428800 is an abundant number, since it is smaller than the sum of its proper divisors (762754560).

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

278428800 is a wasteful number, since it uses less digits than its factorization.

278428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 278428800 is about 16686.1859033154. The cubic root of 278428800 is about 652.9872756616.

The spelling of 278428800 in words is "two hundred seventy-eight million, four hundred twenty-eight thousand, eight hundred".