28588324923648 has 1440 divisors, whose sum is σ = 106559050752000. Its totient is φ = 7438145863680.

The previous prime is 28588324923617. The next prime is 28588324923659. The reversal of 28588324923648 is 84632942388582.

28588324923648 is a `hidden beast` number, since 2 + 8 + 58 + 83 + 2 + 492 + 3 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 21674241133 + ... + 21674242451.

It is an arithmetic number, because the mean of its divisors is an integer number (73999340800).

Almost surely, 2^{28588324923648} is an apocalyptic number.

28588324923648 is a gapful number since it is divisible by the number (28) 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 28588324923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53279525376000).

28588324923648 is an abundant number, since it is smaller than the sum of its proper divisors (77970725828352).

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

28588324923648 is a wasteful number, since it uses less digits than its factorization.

28588324923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1650 counting only the distinct ones).

The product of its digits is 1274019840, while the sum is 72.

The spelling of 28588324923648 in words is "twenty-eight trillion, five hundred eighty-eight billion, three hundred twenty-four million, nine hundred twenty-three thousand, six hundred forty-eight".