10288404 has 96 divisors (see below), whose sum is σ = 31539200. Its totient is φ = 2838240.

The previous prime is 10288403. The next prime is 10288423. The reversal of 10288404 is 40488201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23217 + ... + 23655.

Almost surely, 2^10288404 is an apocalyptic number.

10288404 is a gapful number since it is divisible by the number (14) 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 10288404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769600).

10288404 is an abundant number, since it is smaller than the sum of its proper divisors (21250796).

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

10288404 is a wasteful number, since it uses less digits than its factorization.

10288404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10288404 is about 3207.5542084273. The cubic root of 10288404 is about 217.4950296129.

The spelling of 10288404 in words is "ten million, two hundred eighty-eight thousand, four hundred four".