28772888827782 has 64 divisors (see below), whose sum is σ = 64803572563968. Its totient is φ = 8437629444000.

The previous prime is 28772888827759. The next prime is 28772888827811.

28772888827782 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 28772888827695 and 28772888827704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134288557 + ... + 134502647.

It is an arithmetic number, because the mean of its divisors is an integer number (1012555821312).

Almost surely, 2^{28772888827782} is an apocalyptic number.

28772888827782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28772888827782 is an abundant number, since it is smaller than the sum of its proper divisors (36030683736186).

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

28772888827782 is a wasteful number, since it uses less digits than its factorization.

28772888827782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279825.

The product of its digits is 10070523904, while the sum is 84.

The spelling of 28772888827782 in words is "twenty-eight trillion, seven hundred seventy-two billion, eight hundred eighty-eight million, eight hundred twenty-seven thousand, seven hundred eighty-two".