28250173440 has 416 divisors, whose sum is σ = 102664028160. Its totient is φ = 7366311936.

The previous prime is 28250173439. The next prime is 28250173519. The reversal of 28250173440 is 4437105282.

It is a happy number.

28250173440 is a `hidden beast` number, since 2 + 82 + 501 + 7 + 34 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28250173395 and 28250173404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25988577 + ... + 25989663.

Almost surely, 2^28250173440 is an apocalyptic number.

28250173440 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 28250173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51332014080).

28250173440 is an abundant number, since it is smaller than the sum of its proper divisors (74413854720).

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

28250173440 is a wasteful number, since it uses less digits than its factorization.

28250173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 28250173440 in words is "twenty-eight billion, two hundred fifty million, one hundred seventy-three thousand, four hundred forty".