10628784 has 60 divisors (see below), whose sum is σ = 30718272. Its totient is φ = 3427200.

The previous prime is 10628777. The next prime is 10628797. The reversal of 10628784 is 48782601.

It is a super-2 number, since 2×10628784² = 225942098637312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3274 + ... + 5654.

Almost surely, 2^10628784 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 10628784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359136).

10628784 is an abundant number, since it is smaller than the sum of its proper divisors (20089488).

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

10628784 is a wasteful number, since it uses less digits than its factorization.

10628784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10628784 is about 3260.1815900345. The cubic root of 10628784 is about 219.8675787118.

The spelling of 10628784 in words is "ten million, six hundred twenty-eight thousand, seven hundred eighty-four".