28612132214800 has 240 divisors, whose sum is σ = 71013119601600. Its totient is φ = 11071972638720.

The previous prime is 28612132214797. The next prime is 28612132214851. The reversal of 28612132214800 is 841223121682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058010079 + ... + 1058037121.

It is an arithmetic number, because the mean of its divisors is an integer number (295887998340).

Almost surely, 2^{28612132214800} is an apocalyptic number.

28612132214800 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 28612132214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35506559800800).

28612132214800 is an abundant number, since it is smaller than the sum of its proper divisors (42400987386800).

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

28612132214800 is a wasteful number, since it uses less digits than its factorization.

28612132214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27690 (or 27679 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 28612132214800 in words is "twenty-eight trillion, six hundred twelve billion, one hundred thirty-two million, two hundred fourteen thousand, eight hundred".