28432184093040 has 960 divisors, whose sum is σ = 113880991150080. Its totient is φ = 5812048650240.

The previous prime is 28432184092979. The next prime is 28432184093057. The reversal of 28432184093040 is 4039048123482.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1351907325 + ... + 1351928355.

It is an arithmetic number, because the mean of its divisors is an integer number (118626032448).

Almost surely, 2^{28432184093040} is an apocalyptic number.

28432184093040 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 28432184093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56940495575040).

28432184093040 is an abundant number, since it is smaller than the sum of its proper divisors (85448807057040).

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

28432184093040 is a wasteful number, since it uses less digits than its factorization.

28432184093040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21350 (or 21337 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 28432184093040 in words is "twenty-eight trillion, four hundred thirty-two billion, one hundred eighty-four million, ninety-three thousand, forty".