4028769225 has 192 divisors, whose sum is σ = 8549452800. Its totient is φ = 1842462720.

The previous prime is 4028769149. The next prime is 4028769229. The reversal of 4028769225 is 5229678204.

It is not a de Polignac number, because 4028769225 - 2¹⁶ = 4028703689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 4520683575 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (4028769229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16856656 + ... + 16856894.

It is an arithmetic number, because the mean of its divisors is an integer number (44528400).

Almost surely, 2^4028769225 is an apocalyptic number.

4028769225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4028769225 is an abundant number, since it is smaller than the sum of its proper divisors (4520683575).

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

4028769225 is a wasteful number, since it uses less digits than its factorization.

4028769225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4028769225 is about 63472.5864054711. The cubic root of 4028769225 is about 1591.1976558538.

The spelling of 4028769225 in words is "four billion, twenty-eight million, seven hundred sixty-nine thousand, two hundred twenty-five".