28800882 has 24 divisors (see below), whose sum is σ = 68075280. Its totient is φ = 8727480.

The previous prime is 28800881. The next prime is 28800883.

28800882 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (28800881) and next prime (28800883).

It is not an unprimeable number, because it can be changed into a prime (28800881) 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 11 ways as a sum of consecutive naturals, for example, 72532 + ... + 72927.

It is an arithmetic number, because the mean of its divisors is an integer number (2836470).

Almost surely, 2^28800882 is an apocalyptic number.

28800882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28800882 is an abundant number, since it is smaller than the sum of its proper divisors (39274398).

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

28800882 is a wasteful number, since it uses less digits than its factorization.

28800882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145478 (or 145475 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 28800882 is about 5366.6453208685. The cubic root of 28800882 is about 306.5269020223.

It can be divided in two parts, 28800 and 882, that multiplied together give a square (25401600 = 5040²).

The spelling of 28800882 in words is "twenty-eight million, eight hundred thousand, eight hundred eighty-two".