28960967481600 has 2592 divisors, whose sum is σ = 131190853248000. Its totient is φ = 5450460364800.

The previous prime is 28960967481571. The next prime is 28960967481643. The reversal of 28960967481600 is 618476906982.

It is a super-3 number, since 3×28960967481600³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 14859397426 + ... + 14859399374.

Almost surely, 2^{28960967481600} is an apocalyptic number.

28960967481600 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 28960967481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65595426624000).

28960967481600 is an abundant number, since it is smaller than the sum of its proper divisors (102229885766400).

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

28960967481600 is a wasteful number, since it uses less digits than its factorization.

28960967481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 28960967481600 in words is "twenty-eight trillion, nine hundred sixty billion, nine hundred sixty-seven million, four hundred eighty-one thousand, six hundred".