10029888 has 84 divisors (see below), whose sum is σ = 31382208. Its totient is φ = 3037440.

The previous prime is 10029883. The next prime is 10029913. The reversal of 10029888 is 88892001.

It is a Cunningham number, because it is equal to 3167²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5545 + ... + 7127.

Almost surely, 2^10029888 is an apocalyptic number.

10029888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691104).

10029888 is an abundant number, since it is smaller than the sum of its proper divisors (21352320).

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

10029888 is a wasteful number, since it uses less digits than its factorization.

10029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10029888 is about 3166.9998421219. Note that the first 3 decimals coincide. The cubic root of 10029888 is about 215.6578946664.

The spelling of 10029888 in words is "ten million, twenty-nine thousand, eight hundred eighty-eight".