28681326000 has 240 divisors, whose sum is σ = 100433893248. Its totient is φ = 7628544000.

The previous prime is 28681325993. The next prime is 28681326019. The reversal of 28681326000 is 62318682.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×28681326000² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7756152 + ... + 7759848.

Almost surely, 2^28681326000 is an apocalyptic number.

28681326000 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 28681326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50216946624).

28681326000 is an abundant number, since it is smaller than the sum of its proper divisors (71752567248).

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

28681326000 is a wasteful number, since it uses less digits than its factorization.

28681326000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28681326000 in words is "twenty-eight billion, six hundred eighty-one million, three hundred twenty-six thousand".