28806841440 has 576 divisors, whose sum is σ = 111944851200. Its totient is φ = 6694797312.

The previous prime is 28806841433. The next prime is 28806841451. The reversal of 28806841440 is 4414860882.

It is a super-2 number, since 2×28806841440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25514796 + ... + 25515924.

It is an arithmetic number, because the mean of its divisors is an integer number (194348700).

Almost surely, 2^28806841440 is an apocalyptic number.

28806841440 is a gapful number since it is divisible by the number (20) 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 28806841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55972425600).

28806841440 is an abundant number, since it is smaller than the sum of its proper divisors (83138009760).

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

28806841440 is a wasteful number, since it uses less digits than its factorization.

28806841440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 28806841440 in words is "twenty-eight billion, eight hundred six million, eight hundred forty-one thousand, four hundred forty".