828190440 has 512 divisors, whose sum is σ = 3599769600. Its totient is φ = 164229120.

The previous prime is 828190399. The next prime is 828190477. The reversal of 828190440 is 44091828.

828190440 is a `hidden beast` number, since 8 + 28 + 190 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 828190395 and 828190404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1912464 + ... + 1912896.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^828190440 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 828190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

828190440 is an abundant number, since it is smaller than the sum of its proper divisors (2771579160).

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

828190440 is a wasteful number, since it uses less digits than its factorization.

828190440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 828190440 is about 28778.2980733747. The cubic root of 828190440 is about 939.0961736360.

The spelling of 828190440 in words is "eight hundred twenty-eight million, one hundred ninety thousand, four hundred forty".