10415628 has 120 divisors (see below), whose sum is σ = 30248064. Its totient is φ = 3110400.

The previous prime is 10415617. The next prime is 10415633. The reversal of 10415628 is 82651401.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170718 + ... + 170778.

Almost surely, 2^10415628 is an apocalyptic number.

10415628 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 10415628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032).

10415628 is an abundant number, since it is smaller than the sum of its proper divisors (19832436).

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

10415628 is a wasteful number, since it uses less digits than its factorization.

10415628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10415628 is about 3227.3252082801. The cubic root of 10415628 is about 218.3878570715.

The spelling of 10415628 in words is "ten million, four hundred fifteen thousand, six hundred twenty-eight".