10289628 has 18 divisors (see below), whose sum is σ = 26009984. Its totient is φ = 3429864.

The previous prime is 10289611. The next prime is 10289633. The reversal of 10289628 is 82698201.

10289628 is a `hidden beast` number, since 1 + 0 + 28 + 9 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 285823 = 10289628 / (1 + 0 + 2 + 8 + 9 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 10289592 and 10289601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142876 + ... + 142947.

Almost surely, 2^10289628 is an apocalyptic number.

10289628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10289628 is an abundant number, since it is smaller than the sum of its proper divisors (15720356).

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

10289628 is a wasteful number, since it uses less digits than its factorization.

10289628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285833 (or 285828 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10289628 is about 3207.7450023342. The cubic root of 10289628 is about 217.5036543183.

The spelling of 10289628 in words is "ten million, two hundred eighty-nine thousand, six hundred twenty-eight".