10088352 has 72 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 3214464.

The previous prime is 10088347. The next prime is 10088357. The reversal of 10088352 is 25388001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10088347) and next prime (10088357).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10088357) 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 11 ways as a sum of consecutive naturals, for example, 5863 + ... + 7385.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^10088352 is an apocalyptic number.

10088352 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 10088352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

10088352 is an abundant number, since it is smaller than the sum of its proper divisors (19867392).

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

10088352 is a wasteful number, since it uses less digits than its factorization.

10088352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10088352 is about 3176.2166172980. The cubic root of 10088352 is about 216.0761048695.

It can be divided in two parts, 10088 and 352, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10088352 in words is "ten million, eighty-eight thousand, three hundred fifty-two".