10288880 has 80 divisors (see below), whose sum is σ = 28807680. Its totient is φ = 3338496.

The previous prime is 10288879. The next prime is 10288903. The reversal of 10288880 is 8888201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10288880² = 211722103308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10288880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10157 + ... + 11123.

It is an arithmetic number, because the mean of its divisors is an integer number (360096).

Almost surely, 2^10288880 is an apocalyptic number.

10288880 is a gapful number since it is divisible by the number (10) 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 10288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403840).

10288880 is an abundant number, since it is smaller than the sum of its proper divisors (18518800).

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

10288880 is a wasteful number, since it uses less digits than its factorization.

10288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 10288880 is about 3207.6284074063. The cubic root of 10288880 is about 217.4983837463.

The spelling of 10288880 in words is "ten million, two hundred eighty-eight thousand, eight hundred eighty".