10010828688 has 80 divisors (see below), whose sum is σ = 29619532800. Its totient is φ = 2854067328.

The previous prime is 10010828687. The next prime is 10010828689. The reversal of 10010828688 is 88682801001.

It is an interprime number because it is at equal distance from previous prime (10010828687) and next prime (10010828689).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10010828687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125013 + ... + 188811.

It is an arithmetic number, because the mean of its divisors is an integer number (370244160).

Almost surely, 2^10010828688 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 10010828688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809766400).

10010828688 is an abundant number, since it is smaller than the sum of its proper divisors (19608704112).

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

10010828688 is a wasteful number, since it uses less digits than its factorization.

10010828688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64284 (or 64278 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 10010828688 in words is "ten billion, ten million, eight hundred twenty-eight thousand, six hundred eighty-eight".