10728588 has 48 divisors (see below), whose sum is σ = 27275360. Its totient is φ = 3262464.

The previous prime is 10728587. The next prime is 10728589. The reversal of 10728588 is 88582701.

It is an interprime number because it is at equal distance from previous prime (10728587) and next prime (10728589).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10728587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14778 + ... + 15486.

Almost surely, 2^10728588 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 10728588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637680).

10728588 is an abundant number, since it is smaller than the sum of its proper divisors (16546772).

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

10728588 is a wasteful number, since it uses less digits than its factorization.

10728588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 10728588 is about 3275.4523351745. The cubic root of 10728588 is about 220.5536194487.

The spelling of 10728588 in words is "ten million, seven hundred twenty-eight thousand, five hundred eighty-eight".