28230352072800 has 576 divisors, whose sum is σ = 93823233928704. Its totient is φ = 7371211161600.

The previous prime is 28230352072799. The next prime is 28230352072823. The reversal of 28230352072800 is 827025303282.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26557245069 + ... + 26557246131.

It is an arithmetic number, because the mean of its divisors is an integer number (162887558904).

Almost surely, 2^{28230352072800} is an apocalyptic number.

28230352072800 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 28230352072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46911616964352).

28230352072800 is an abundant number, since it is smaller than the sum of its proper divisors (65592881855904).

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

28230352072800 is a wasteful number, since it uses less digits than its factorization.

28230352072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 28230352072800 in words is "twenty-eight trillion, two hundred thirty billion, three hundred fifty-two million, seventy-two thousand, eight hundred".