28165035476928 has 224 divisors, whose sum is σ = 85397933896704. Its totient is φ = 8025239789568.

The previous prime is 28165035476827. The next prime is 28165035476939. The reversal of 28165035476928 is 82967453056182.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×28165035476928² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752111901 + ... + 752149347.

It is a 1-persistent number, because it is pandigital, but 2⋅28165035476928 = 56330070953856 is not.

Almost surely, 2^{28165035476928} is an apocalyptic number.

28165035476928 is a gapful number since it is divisible by the number (28) 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 28165035476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42698966948352).

28165035476928 is an abundant number, since it is smaller than the sum of its proper divisors (57232898419776).

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

28165035476928 is a wasteful number, since it uses less digits than its factorization.

28165035476928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38979 (or 38969 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 28165035476928 in words is "twenty-eight trillion, one hundred sixty-five billion, thirty-five million, four hundred seventy-six thousand, nine hundred twenty-eight".