28949581440 has 1024 divisors, whose sum is σ = 117470707200. Its totient is φ = 6772211712.

The previous prime is 28949581417. The next prime is 28949581447. The reversal of 28949581440 is 4418594982.

It is a happy number.

28949581440 is a `hidden beast` number, since 2 + 8 + 9 + 495 + 8 + 144 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28949581447) 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 127 ways as a sum of consecutive naturals, for example, 673246059 + ... + 673246101.

Almost surely, 2^28949581440 is an apocalyptic number.

28949581440 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 28949581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58735353600).

28949581440 is an abundant number, since it is smaller than the sum of its proper divisors (88521125760).

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

28949581440 is an equidigital number, since it uses as much as digits as its factorization.

28949581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 28949581440 in words is "twenty-eight billion, nine hundred forty-nine million, five hundred eighty-one thousand, four hundred forty".