829484928 has 128 divisors (see below), whose sum is σ = 2458404000. Its totient is φ = 275337216.

The previous prime is 829484917. The next prime is 829484939.

829484928 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (829484917) and next prime (829484939).

It is a tau number, because it is divible by the number of its divisors (128).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344076 + ... + 1344692.

Almost surely, 2^829484928 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 829484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229202000).

829484928 is an abundant number, since it is smaller than the sum of its proper divisors (1628919072).

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

829484928 is a wasteful number, since it uses less digits than its factorization.

829484928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1011 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 829484928 is about 28800.7799894378. The cubic root of 829484928 is about 939.5851980007.

The spelling of 829484928 in words is "eight hundred twenty-nine million, four hundred eighty-four thousand, nine hundred twenty-eight".