883882272 has 384 divisors, whose sum is σ = 3072577536. Its totient is φ = 216133632.

The previous prime is 883882183. The next prime is 883882273. The reversal of 883882272 is 272288388.

It is a happy number.

883882272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (688128) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (883882273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10649143 + ... + 10649225.

It is an arithmetic number, because the mean of its divisors is an integer number (8001504).

Almost surely, 2^883882272 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 883882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536288768).

883882272 is an abundant number, since it is smaller than the sum of its proper divisors (2188695264).

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

883882272 is a wasteful number, since it uses less digits than its factorization.

883882272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 883882272 is about 29730.1576181493. The cubic root of 883882272 is about 959.6911159037.

The spelling of 883882272 in words is "eight hundred eighty-three million, eight hundred eighty-two thousand, two hundred seventy-two".