828767916 has 144 divisors (see below), whose sum is σ = 2349093600. Its totient is φ = 252346752.

The previous prime is 828767881. The next prime is 828767917. The reversal of 828767916 is 619767828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (828767917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1130286 + ... + 1131018.

It is an arithmetic number, because the mean of its divisors is an integer number (16313150).

Almost surely, 2^828767916 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 828767916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174546800).

828767916 is an abundant number, since it is smaller than the sum of its proper divisors (1520325684).

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

828767916 is a wasteful number, since it uses less digits than its factorization.

828767916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 786 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 828767916 is about 28788.3295104110. The cubic root of 828767916 is about 939.3143921678.

The spelling of 828767916 in words is "eight hundred twenty-eight million, seven hundred sixty-seven thousand, nine hundred sixteen".