828738266841100 has 432 divisors, whose sum is σ = 2316576900839040. Its totient is φ = 254412758476800.

The previous prime is 828738266841071. The next prime is 828738266841101. The reversal of 828738266841100 is 1148662837828.

It is a super-2 number, since 2×828738266841100² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828738266841101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29876271031 + ... + 29876298769.

It is an arithmetic number, because the mean of its divisors is an integer number (5362446529720).

Almost surely, 2^{828738266841100} 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 828738266841100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158288450419520).

828738266841100 is an abundant number, since it is smaller than the sum of its proper divisors (1487838633997940).

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

828738266841100 is a wasteful number, since it uses less digits than its factorization.

828738266841100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36118 (or 36104 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 64.

The spelling of 828738266841100 in words is "eight hundred twenty-eight trillion, seven hundred thirty-eight billion, two hundred sixty-six million, eight hundred forty-one thousand, one hundred".