10087328 has 48 divisors (see below), whose sum is σ = 21409920. Its totient is φ = 4663296.

The previous prime is 10087303. The next prime is 10087339. The reversal of 10087328 is 82378001.

10087328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10087328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28400 + ... + 28752.

It is an arithmetic number, because the mean of its divisors is an integer number (446040).

Almost surely, 2^10087328 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 10087328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704960).

10087328 is an abundant number, since it is smaller than the sum of its proper divisors (11322592).

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

10087328 is a wasteful number, since it uses less digits than its factorization.

10087328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 10087328 is about 3176.0554151337. The cubic root of 10087328 is about 216.0687938168.

The spelling of 10087328 in words is "ten million, eighty-seven thousand, three hundred twenty-eight".