28790275300416 has 420 divisors, whose sum is σ = 100473192843408. Its totient is φ = 8126681052672.

The previous prime is 28790275300393. The next prime is 28790275300439. The reversal of 28790275300416 is 61400357209782.

It is a happy number.

28790275300416 is a `hidden beast` number, since 2 + 8 + 7 + 90 + 2 + 7 + 530 + 0 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (28790275300393) and next prime (28790275300439).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20400555 + ... + 21766101.

It is a 1-persistent number, because it is pandigital, but 2⋅28790275300416 = 57580550600832 is not.

Almost surely, 2^{28790275300416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28790275300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50236596421704).

28790275300416 is an abundant number, since it is smaller than the sum of its proper divisors (71682917542992).

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

28790275300416 is a wasteful number, since it uses less digits than its factorization.

28790275300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365668 (or 1365642 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 28790275300416 in words is "twenty-eight trillion, seven hundred ninety billion, two hundred seventy-five million, three hundred thousand, four hundred sixteen".