882367728 has 160 divisors (see below), whose sum is σ = 2651616000. Its totient is φ = 249876480.

The previous prime is 882367727. The next prime is 882367729. The reversal of 882367728 is 827763288.

It is an interprime number because it is at equal distance from previous prime (882367727) and next prime (882367729).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882367721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1768023 + ... + 1768521.

It is an arithmetic number, because the mean of its divisors is an integer number (16572600).

Almost surely, 2^882367728 is an apocalyptic number.

882367728 is a gapful number since it is divisible by the number (88) 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 882367728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325808000).

882367728 is an abundant number, since it is smaller than the sum of its proper divisors (1769248272).

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

882367728 is a wasteful number, since it uses less digits than its factorization.

882367728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 882367728 is about 29704.6751875862. The cubic root of 882367728 is about 959.1426546991.

The spelling of 882367728 in words is "eight hundred eighty-two million, three hundred sixty-seven thousand, seven hundred twenty-eight".