28646266410 has 384 divisors, whose sum is σ = 84422476800. Its totient is φ = 6985802880.

The previous prime is 28646266409. The next prime is 28646266417. The reversal of 28646266410 is 1466264682.

28646266410 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 626 + 6 + 4 + 10 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28646266417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 609495007 + ... + 609495053.

It is an arithmetic number, because the mean of its divisors is an integer number (219850200).

Almost surely, 2^28646266410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28646266410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42211238400).

28646266410 is an abundant number, since it is smaller than the sum of its proper divisors (55776210390).

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

28646266410 is an equidigital number, since it uses as much as digits as its factorization.

28646266410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28646266410 in words is "twenty-eight billion, six hundred forty-six million, two hundred sixty-six thousand, four hundred ten".