28780496270400 has 2016 divisors, whose sum is σ = 120600334798848. Its totient is φ = 5873198284800.

The previous prime is 28780496270389. The next prime is 28780496270431. The reversal of 28780496270400 is 407269408782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19807636074 + ... + 19807637526.

Almost surely, 2^{28780496270400} is an apocalyptic number.

28780496270400 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 28780496270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60300167399424).

28780496270400 is an abundant number, since it is smaller than the sum of its proper divisors (91819838528448).

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

28780496270400 is a wasteful number, since it uses less digits than its factorization.

28780496270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 28780496270400 in words is "twenty-eight trillion, seven hundred eighty billion, four hundred ninety-six million, two hundred seventy thousand, four hundred".