10029268224 has 108 divisors (see below), whose sum is σ = 29006420352. Its totient is φ = 3332736000.

The previous prime is 10029268189. The next prime is 10029268279. The reversal of 10029268224 is 42286292001.

It is a super-2 number, since 2×10029268224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (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, 756049 + ... + 769199.

Almost surely, 2^10029268224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10029268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503210176).

10029268224 is an abundant number, since it is smaller than the sum of its proper divisors (18977152128).

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

10029268224 is a wasteful number, since it uses less digits than its factorization.

10029268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13487 counting only the distinct ones).

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

The spelling of 10029268224 in words is "ten billion, twenty-nine million, two hundred sixty-eight thousand, two hundred twenty-four".