278628 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 76320.

The previous prime is 278627. The next prime is 278639. The reversal of 278628 is 826872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2551 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2²⁷⁸⁶²⁸ is an apocalyptic number.

278628 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 278628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

278628 is an abundant number, since it is smaller than the sum of its proper divisors (495516).

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

278628 is a wasteful number, since it uses less digits than its factorization.

278628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 278628 is about 527.8522520554. The cubic root of 278628 is about 65.3142963647.

The spelling of 278628 in words is "two hundred seventy-eight thousand, six hundred twenty-eight".