28406546285040 has 960 divisors, whose sum is σ = 122247982771200. Its totient is φ = 5740598476800.

The previous prime is 28406546285003. The next prime is 28406546285071. The reversal of 28406546285040 is 4058264560482.

28406546285040 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 6 + 5 + 4 + 628 + 5 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300936571 + ... + 301030949.

It is an arithmetic number, because the mean of its divisors is an integer number (127341648720).

Almost surely, 2^{28406546285040} is an apocalyptic number.

28406546285040 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 28406546285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61123991385600).

28406546285040 is an abundant number, since it is smaller than the sum of its proper divisors (93841436486160).

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

28406546285040 is a wasteful number, since it uses less digits than its factorization.

28406546285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94566 (or 94557 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 28406546285040 in words is "twenty-eight trillion, four hundred six billion, five hundred forty-six million, two hundred eighty-five thousand, forty".