28471681602000 has 3840 divisors, whose sum is σ = 138039378247680. Its totient is φ = 5502422016000.

The previous prime is 28471681601977. The next prime is 28471681602029. The reversal of 28471681602000 is 20618617482.

28471681602000 is a `hidden beast` number, since 28 + 4 + 7 + 16 + 8 + 1 + 602 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 26049113454 + ... + 26049114546.

It is an arithmetic number, because the mean of its divisors is an integer number (35947754752).

Almost surely, 2^{28471681602000} is an apocalyptic number.

28471681602000 is a gapful number since it is divisible by the number (20) 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 28471681602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69019689123840).

28471681602000 is an abundant number, since it is smaller than the sum of its proper divisors (109567696645680).

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

28471681602000 is a wasteful number, since it uses less digits than its factorization.

28471681602000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28471681602000 in words is "twenty-eight trillion, four hundred seventy-one billion, six hundred eighty-one million, six hundred two thousand".