10362823128 has 80 divisors (see below), whose sum is σ = 33172014480. Its totient is φ = 2960805312.

The previous prime is 10362823073. The next prime is 10362823139. The reversal of 10362823128 is 82132826301.

10362823128 is a `hidden beast` number, since 1 + 0 + 3 + 628 + 2 + 3 + 1 + 28 = 666.

It is a super-3 number, since 3×10362823128³ (a number of 31 digits) contains 333 as substring.

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 = 10362823092 and 10362823101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1137751 + ... + 1146822.

It is an arithmetic number, because the mean of its divisors is an integer number (414650181).

Almost surely, 2^10362823128 is an apocalyptic number.

10362823128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10362823128 is an abundant number, since it is smaller than the sum of its proper divisors (22809191352).

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

10362823128 is a wasteful number, since it uses less digits than its factorization.

10362823128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284598 (or 2284585 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 103628 and 23128, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 10362823128 in words is "ten billion, three hundred sixty-two million, eight hundred twenty-three thousand, one hundred twenty-eight".