828947574000 has 1280 divisors, whose sum is σ = 3870112296960. Its totient is φ = 164594073600.

The previous prime is 828947573989. The next prime is 828947574001. The reversal of 828947574000 is 475749828.

It is a happy number.

828947574000 is a `hidden beast` number, since 8 + 28 + 9 + 47 + 574 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828947574001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83533039 + ... + 83542961.

It is an arithmetic number, because the mean of its divisors is an integer number (3023525232).

Almost surely, 2^828947574000 is an apocalyptic number.

828947574000 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 828947574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935056148480).

828947574000 is an abundant number, since it is smaller than the sum of its proper divisors (3041164722960).

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

828947574000 is a wasteful number, since it uses less digits than its factorization.

828947574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 828947574000 in words is "eight hundred twenty-eight billion, nine hundred forty-seven million, five hundred seventy-four thousand".