82628910000 has 2000 divisors, whose sum is σ = 393728966400. Its totient is φ = 16236288000.

The previous prime is 82628909963. The next prime is 82628910073. The reversal of 82628910000 is 1982628.

It is a tau number, because it is divible by the number of its divisors (2000).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1400489971 + ... + 1400490029.

Almost surely, 2^82628910000 is an apocalyptic number.

82628910000 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 82628910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196864483200).

82628910000 is an abundant number, since it is smaller than the sum of its proper divisors (311100056400).

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

82628910000 is a wasteful number, since it uses less digits than its factorization.

82628910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 82628910000 in words is "eighty-two billion, six hundred twenty-eight million, nine hundred ten thousand".