28226790693504 has 1024 divisors, whose sum is σ = 96259172352000. Its totient is φ = 8070218956800.

The previous prime is 28226790693487. The next prime is 28226790693527. The reversal of 28226790693504 is 40539609762282.

It is a happy number.

28226790693504 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 67 + 9 + 0 + 69 + 3 + 504 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28483138449 + ... + 28483139439.

It is an arithmetic number, because the mean of its divisors is an integer number (94003098000).

Almost surely, 2^{28226790693504} is an apocalyptic number.

28226790693504 is a gapful number since it is divisible by the number (24) 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 28226790693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48129586176000).

28226790693504 is an abundant number, since it is smaller than the sum of its proper divisors (68032381658496).

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

28226790693504 is a wasteful number, since it uses less digits than its factorization.

28226790693504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 28226790693504 in words is "twenty-eight trillion, two hundred twenty-six billion, seven hundred ninety million, six hundred ninety-three thousand, five hundred four".