10628280 has 128 divisors (see below), whose sum is σ = 38203200. Its totient is φ = 2612736.

The previous prime is 10628273. The next prime is 10628309. The reversal of 10628280 is 8282601.

10628280 is a `hidden beast` number, since 10 + 628 + 28 + 0 = 666.

It is a super-2 number, since 2×10628280² = 225920671516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13662 + ... + 14418.

Almost surely, 2^10628280 is an apocalyptic number.

10628280 is a gapful number since it is divisible by the number (10) 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 10628280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101600).

10628280 is an abundant number, since it is smaller than the sum of its proper divisors (27574920).

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

10628280 is a wasteful number, since it uses less digits than its factorization.

10628280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10628280 is about 3260.1042928103. The cubic root of 10628280 is about 219.8641034002.

The spelling of 10628280 in words is "ten million, six hundred twenty-eight thousand, two hundred eighty".