886249728 has 288 divisors, whose sum is σ = 3227884800. Its totient is φ = 233570304.

The previous prime is 886249723. The next prime is 886249739. The reversal of 886249728 is 827942688.

886249728 is a `hidden beast` number, since 8 + 8 + 624 + 9 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (886249723) 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 31 ways as a sum of consecutive naturals, for example, 628288 + ... + 629696.

Almost surely, 2^886249728 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 886249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613942400).

886249728 is an abundant number, since it is smaller than the sum of its proper divisors (2341635072).

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

886249728 is a wasteful number, since it uses less digits than its factorization.

886249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1434 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 886249728 is about 29769.9467248432. The cubic root of 886249728 is about 960.5471880504.

The spelling of 886249728 in words is "eight hundred eighty-six million, two hundred forty-nine thousand, seven hundred twenty-eight".