12628035 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 5455296.

The previous prime is 12628019. The next prime is 12628069. The reversal of 12628035 is 53082621.

12628035 is a `hidden beast` number, since 1 + 2 + 628 + 0 + 35 = 666.

It is not a de Polignac number, because 12628035 - 2⁴ = 12628019 is a prime.

It is a super-2 number, since 2×12628035² = 318934535922450, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152104 + ... + 152186.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^12628035 is an apocalyptic number.

12628035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12628035 is an abundant number, since it is smaller than the sum of its proper divisors (14950845).

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

12628035 is a wasteful number, since it uses less digits than its factorization.

12628035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12628035 is about 3553.5946589334. The cubic root of 12628035 is about 232.8691326726.

The spelling of 12628035 in words is "twelve million, six hundred twenty-eight thousand, thirty-five".