2829097832 has 64 divisors (see below), whose sum is σ = 5863959360. Its totient is φ = 1268915200.

The previous prime is 2829097801. The next prime is 2829097861. The reversal of 2829097832 is 2387909282.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2913107 + ... + 2914077.

It is an arithmetic number, because the mean of its divisors is an integer number (91624365).

Almost surely, 2^2829097832 is an apocalyptic number.

2829097832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829097832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931979680).

2829097832 is an abundant number, since it is smaller than the sum of its proper divisors (3034861528).

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

2829097832 is a wasteful number, since it uses less digits than its factorization.

2829097832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 2829097832 is about 53189.2642551107. The cubic root of 2829097832 is about 1414.3253380807.

The spelling of 2829097832 in words is "two billion, eight hundred twenty-nine million, ninety-seven thousand, eight hundred thirty-two".