278328960 has 640 divisors, whose sum is σ = 1244073600. Its totient is φ = 57729024.

The previous prime is 278328959. The next prime is 278328991. The reversal of 278328960 is 69823872.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717411 + ... + 4717469.

It is an arithmetic number, because the mean of its divisors is an integer number (1943865).

Almost surely, 2^278328960 is an apocalyptic number.

278328960 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 278328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622036800).

278328960 is an abundant number, since it is smaller than the sum of its proper divisors (965744640).

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

278328960 is a wasteful number, since it uses less digits than its factorization.

278328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 278328960 is about 16683.1939388116. The cubic root of 278328960 is about 652.9092161557.

The spelling of 278328960 in words is "two hundred seventy-eight million, three hundred twenty-eight thousand, nine hundred sixty".