10028291624052 has 24 divisors (see below), whose sum is σ = 25199296901856. Its totient is φ = 3085628191968.

The previous prime is 10028291624041. The next prime is 10028291624053. The reversal of 10028291624052 is 25042619282001.

It is a junction number, because it is equal to n+sod(n) for n = 10028291623995 and 10028291624013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028291624053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32141960178 + ... + 32141960489.

It is an arithmetic number, because the mean of its divisors is an integer number (1049970704244).

Almost surely, 2^{10028291624052} is an apocalyptic number.

10028291624052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10028291624052 is an abundant number, since it is smaller than the sum of its proper divisors (15171005277804).

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

10028291624052 is a wasteful number, since it uses less digits than its factorization.

10028291624052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64283920687 (or 64283920685 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10028291624052 in words is "ten trillion, twenty-eight billion, two hundred ninety-one million, six hundred twenty-four thousand, fifty-two".