10288000 has 64 divisors (see below), whose sum is σ = 25618320. Its totient is φ = 4108800.

The previous prime is 10287983. The next prime is 10288027. The reversal of 10288000 is 88201.

It is a happy number.

10288000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 15679 + ... + 16321.

Almost surely, 2^10288000 is an apocalyptic number.

10288000 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 10288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809160).

10288000 is an abundant number, since it is smaller than the sum of its proper divisors (15330320).

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

10288000 is an frugal number, since it uses more digits than its factorization.

10288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10288000 is about 3207.4912314767. The cubic root of 10288000 is about 217.4921827463.

The spelling of 10288000 in words is "ten million, two hundred eighty-eight thousand".