28689288313140 has 768 divisors, whose sum is σ = 112197550080000. Its totient is φ = 6047582446080.

The previous prime is 28689288313123. The next prime is 28689288313159. The reversal of 28689288313140 is 4131388298682.

28689288313140 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 9 + 288 + 31 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2964070821 + ... + 2964080499.

It is an arithmetic number, because the mean of its divisors is an integer number (146090560000).

Almost surely, 2^{28689288313140} is an apocalyptic number.

28689288313140 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 28689288313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56098775040000).

28689288313140 is an abundant number, since it is smaller than the sum of its proper divisors (83508261766860).

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

28689288313140 is a wasteful number, since it uses less digits than its factorization.

28689288313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10962 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 28689288313140 in words is "twenty-eight trillion, six hundred eighty-nine billion, two hundred eighty-eight million, three hundred thirteen thousand, one hundred forty".