10388628 has 48 divisors (see below), whose sum is σ = 27572160. Its totient is φ = 3380832.

The previous prime is 10388593. The next prime is 10388629. The reversal of 10388628 is 82688301.

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

It is a junction number, because it is equal to n+sod(n) for n = 10388592 and 10388601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10388629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3526 + ... + 5762.

It is an arithmetic number, because the mean of its divisors is an integer number (574420).

Almost surely, 2^10388628 is an apocalyptic number.

10388628 is a gapful number since it is divisible by the number (18) 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 10388628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786080).

10388628 is an abundant number, since it is smaller than the sum of its proper divisors (17183532).

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

10388628 is a wasteful number, since it uses less digits than its factorization.

10388628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10388628 is about 3223.1394633183. The cubic root of 10388628 is about 218.1989878534.

The spelling of 10388628 in words is "ten million, three hundred eighty-eight thousand, six hundred twenty-eight".