2826829632 has 224 divisors, whose sum is σ = 8844954624. Its totient is φ = 787046400.

The previous prime is 2826829613. The next prime is 2826829657. The reversal of 2826829632 is 2369286282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542957 + ... + 1544787.

Almost surely, 2^2826829632 is an apocalyptic number.

2826829632 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 2826829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422477312).

2826829632 is an abundant number, since it is smaller than the sum of its proper divisors (6018124992).

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

2826829632 is a wasteful number, since it uses less digits than its factorization.

2826829632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1907 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 2826829632 is about 53167.9380077881. The cubic root of 2826829632 is about 1413.9472634406.

The spelling of 2826829632 in words is "two billion, eight hundred twenty-six million, eight hundred twenty-nine thousand, six hundred thirty-two".