828883440 has 240 divisors, whose sum is σ = 3470777856. Its totient is φ = 172224000.

The previous prime is 828883439. The next prime is 828883459. The reversal of 828883440 is 44388828.

It is a happy number.

828883440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47965 + ... + 62915.

Almost surely, 2^828883440 is an apocalyptic number.

828883440 is a gapful number since it is divisible by the number (80) 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 828883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735388928).

828883440 is an abundant number, since it is smaller than the sum of its proper divisors (2641894416).

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

828883440 is a wasteful number, since it uses less digits than its factorization.

828883440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14988 (or 14979 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 828883440 is about 28790.3358785548. The cubic root of 828883440 is about 939.3580345885.

The spelling of 828883440 in words is "eight hundred twenty-eight million, eight hundred eighty-three thousand, four hundred forty".