10829225628 has 36 divisors (see below), whose sum is σ = 29479559928. Its totient is φ = 3332069280.

The previous prime is 10829225599. The next prime is 10829225657. The reversal of 10829225628 is 82652292801.

10829225628 is a `hidden beast` number, since 1 + 0 + 82 + 9 + 2 + 2 + 562 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10829225599) and next prime (10829225657).

It is a tau number, because it is divible by the number of its divisors (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, 11569218 + ... + 11570153.

Almost surely, 2^10829225628 is an apocalyptic number.

10829225628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10829225628 is an abundant number, since it is smaller than the sum of its proper divisors (18650334300).

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

10829225628 is a wasteful number, since it uses less digits than its factorization.

10829225628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23139394 (or 23139389 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 1082922 and 5628, that added together give a triangular number (1088550 = T₁₄₇₅).

The spelling of 10829225628 in words is "ten billion, eight hundred twenty-nine million, two hundred twenty-five thousand, six hundred twenty-eight".