4028777252864 has 864 divisors, whose sum is σ = 10716325401600. Its totient is φ = 1507165470720.

The previous prime is 4028777252837. The next prime is 4028777252911. The reversal of 4028777252864 is 4682527778204.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 4028777252797 and 4028777252806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41533786064 + ... + 41533786160.

It is an arithmetic number, because the mean of its divisors is an integer number (12403154400).

Almost surely, 2^{4028777252864} 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 4028777252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358162700800).

4028777252864 is an abundant number, since it is smaller than the sum of its proper divisors (6687548148736).

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

4028777252864 is a wasteful number, since it uses less digits than its factorization.

4028777252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 62.

The spelling of 4028777252864 in words is "four trillion, twenty-eight billion, seven hundred seventy-seven million, two hundred fifty-two thousand, eight hundred sixty-four".