10288032 has 48 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 3317760.

The previous prime is 10288027. The next prime is 10288037. The reversal of 10288032 is 23088201.

It is an interprime number because it is at equal distance from previous prime (10288027) and next prime (10288037).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10287993 and 10288011.

It is not an unprimeable number, because it can be changed into a prime (10288037) 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 7 ways as a sum of consecutive naturals, for example, 1248 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 2^10288032 is an apocalyptic number.

10288032 is a gapful number since it is divisible by the number (12) 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 10288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

10288032 is an abundant number, since it is smaller than the sum of its proper divisors (17597280).

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

10288032 is a wasteful number, since it uses less digits than its factorization.

10288032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10288032 is about 3207.4962197951. The cubic root of 10288032 is about 217.4924082434.

The spelling of 10288032 in words is "ten million, two hundred eighty-eight thousand, thirty-two".