28073036898900 has 1728 divisors, whose sum is σ = 110746047799296. Its totient is φ = 5803757568000.

The previous prime is 28073036898859. The next prime is 28073036898901. The reversal of 28073036898900 is 989863037082.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28073036898901) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 57175227655 + ... + 57175228145.

It is an arithmetic number, because the mean of its divisors is an integer number (64089148032).

Almost surely, 2^{28073036898900} is an apocalyptic number.

28073036898900 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 28073036898900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55373023899648).

28073036898900 is an abundant number, since it is smaller than the sum of its proper divisors (82673010900396).

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

28073036898900 is a wasteful number, since it uses less digits than its factorization.

28073036898900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 28073036898900 in words is "twenty-eight trillion, seventy-three billion, thirty-six million, eight hundred ninety-eight thousand, nine hundred".