10289880 has 96 divisors (see below), whose sum is σ = 33892560. Its totient is φ = 2707200.

The previous prime is 10289863. The next prime is 10289891. The reversal of 10289880 is 8898201.

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 23 ways as a sum of consecutive naturals, for example, 36219 + ... + 36501.

Almost surely, 2^10289880 is an apocalyptic number.

10289880 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 10289880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946280).

10289880 is an abundant number, since it is smaller than the sum of its proper divisors (23602680).

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

10289880 is a wasteful number, since it uses less digits than its factorization.

10289880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

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

The square root of 10289880 is about 3207.7842820240. The cubic root of 10289880 is about 217.5054299080.

Adding to 10289880 its sum of digits (36), we get a triangular number (10289916 = T₄₅₃₆).

The spelling of 10289880 in words is "ten million, two hundred eighty-nine thousand, eight hundred eighty".