769283928 has 288 divisors, whose sum is σ = 2566231200. Its totient is φ = 207277056.

The previous prime is 769283927. The next prime is 769283939. The reversal of 769283928 is 829382967.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769283927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7468725 + ... + 7468827.

It is an arithmetic number, because the mean of its divisors is an integer number (8910525).

Almost surely, 2^769283928 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 769283928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283115600).

769283928 is an abundant number, since it is smaller than the sum of its proper divisors (1796947272).

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

769283928 is a wasteful number, since it uses less digits than its factorization.

769283928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 769283928 is about 27735.9681280463. The cubic root of 769283928 is about 916.2814330722.

The spelling of 769283928 in words is "seven hundred sixty-nine million, two hundred eighty-three thousand, nine hundred twenty-eight".