28173442440 has 1152 divisors, whose sum is σ = 116496921600. Its totient is φ = 5376983040.

The previous prime is 28173442433. The next prime is 28173442481. The reversal of 28173442440 is 4424437182.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1224932269 + ... + 1224932291.

It is an arithmetic number, because the mean of its divisors is an integer number (101125800).

Almost surely, 2^28173442440 is an apocalyptic number.

28173442440 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 28173442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58248460800).

28173442440 is an abundant number, since it is smaller than the sum of its proper divisors (88323479160).

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

28173442440 is a wasteful number, since it uses less digits than its factorization.

28173442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 28173442440 in words is "twenty-eight billion, one hundred seventy-three million, four hundred forty-two thousand, four hundred forty".