828630650880 has 1248 divisors, whose sum is σ = 3220045920000. Its totient is φ = 196199055360.

The previous prime is 828630650863. The next prime is 828630650893. The reversal of 828630650880 is 88056036828.

828630650880 is a `hidden beast` number, since 8 + 28 + 6 + 30 + 6 + 508 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4163973021 + ... + 4163973219.

It is an arithmetic number, because the mean of its divisors is an integer number (2580165000).

Almost surely, 2^828630650880 is an apocalyptic number.

828630650880 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 828630650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610022960000).

828630650880 is an abundant number, since it is smaller than the sum of its proper divisors (2391415269120).

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

828630650880 is a wasteful number, since it uses less digits than its factorization.

828630650880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 828630650880 in words is "eight hundred twenty-eight billion, six hundred thirty million, six hundred fifty thousand, eight hundred eighty".