28582543153920 has 1152 divisors, whose sum is σ = 107228761694208. Its totient is φ = 6354616320000.

The previous prime is 28582543153849. The next prime is 28582543153973. The reversal of 28582543153920 is 2935134528582.

It is a happy number.

It is a super-2 number, since 2×28582543153920² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64520413219 + ... + 64520413661.

It is an arithmetic number, because the mean of its divisors is an integer number (93080522304).

Almost surely, 2^{28582543153920} is an apocalyptic number.

28582543153920 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 28582543153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53614380847104).

28582543153920 is an abundant number, since it is smaller than the sum of its proper divisors (78646218540288).

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

28582543153920 is a wasteful number, since it uses less digits than its factorization.

28582543153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 28582543153920 in words is "twenty-eight trillion, five hundred eighty-two billion, five hundred forty-three million, one hundred fifty-three thousand, nine hundred twenty".