828645480 has 192 divisors, whose sum is σ = 3053232000. Its totient is φ = 193218048.

The previous prime is 828645463. The next prime is 828645487. The reversal of 828645480 is 84546828.

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

It is not an unprimeable number, because it can be changed into a prime (828645487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84261 + ... + 93579.

It is an arithmetic number, because the mean of its divisors is an integer number (15902250).

Almost surely, 2^828645480 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 828645480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526616000).

828645480 is an abundant number, since it is smaller than the sum of its proper divisors (2224586520).

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

828645480 is a wasteful number, since it uses less digits than its factorization.

828645480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 828645480 is about 28786.2029451611. The cubic root of 828645480 is about 939.2681341188.

The spelling of 828645480 in words is "eight hundred twenty-eight million, six hundred forty-five thousand, four hundred eighty".