28929865440 has 384 divisors, whose sum is σ = 105972572160. Its totient is φ = 6497814528.

The previous prime is 28929865427. The next prime is 28929865483. The reversal of 28929865440 is 4456892982.

It is a happy number.

It is a super-2 number, since 2×28929865440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61948087 + ... + 61948553.

It is an arithmetic number, because the mean of its divisors is an integer number (275970240).

Almost surely, 2^28929865440 is an apocalyptic number.

28929865440 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 28929865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52986286080).

28929865440 is an abundant number, since it is smaller than the sum of its proper divisors (77042706720).

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

28929865440 is a wasteful number, since it uses less digits than its factorization.

28929865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 28929865440 in words is "twenty-eight billion, nine hundred twenty-nine million, eight hundred sixty-five thousand, four hundred forty".