28216154948800 has 1008 divisors, whose sum is σ = 91751904432832. Its totient is φ = 8309993472000.

The previous prime is 28216154948797. The next prime is 28216154948803. The reversal of 28216154948800 is 884945161282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28216154948797) and next prime (28216154948803).

It is not an unprimeable number, because it can be changed into a prime (28216154948803) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2849823850 + ... + 2849833750.

Almost surely, 2^{28216154948800} is an apocalyptic number.

28216154948800 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 28216154948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45875952216416).

28216154948800 is an abundant number, since it is smaller than the sum of its proper divisors (63535749484032).

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

28216154948800 is a wasteful number, since it uses less digits than its factorization.

28216154948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 58.

The spelling of 28216154948800 in words is "twenty-eight trillion, two hundred sixteen billion, one hundred fifty-four million, nine hundred forty-eight thousand, eight hundred".