28415283202800 has 3840 divisors, whose sum is σ = 124025128550400. Its totient is φ = 6113802240000.

The previous prime is 28415283202759. The next prime is 28415283202841. The reversal of 28415283202800 is 820238251482.

28415283202800 is a `hidden beast` number, since 2 + 8 + 41 + 5 + 2 + 8 + 320 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28415283202759) and next prime (28415283202841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 216910558735 + ... + 216910558865.

It is an arithmetic number, because the mean of its divisors is an integer number (32298210560).

Almost surely, 2^{28415283202800} is an apocalyptic number.

28415283202800 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 28415283202800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62012564275200).

28415283202800 is an abundant number, since it is smaller than the sum of its proper divisors (95609845347600).

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

28415283202800 is a wasteful number, since it uses less digits than its factorization.

28415283202800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 28415283202800 in words is "twenty-eight trillion, four hundred fifteen billion, two hundred eighty-three million, two hundred two thousand, eight hundred".