28817242401024 has 1080 divisors, whose sum is σ = 109376276885568. Its totient is φ = 7484002283520.

The previous prime is 28817242401007. The next prime is 28817242401089. The reversal of 28817242401024 is 42010424271882.

28817242401024 is a `hidden beast` number, since 28 + 8 + 172 + 424 + 0 + 10 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3833605714 + ... + 3833613230.

Almost surely, 2^{28817242401024} is an apocalyptic number.

28817242401024 is a gapful number since it is divisible by the number (24) 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 28817242401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54688138442784).

28817242401024 is an abundant number, since it is smaller than the sum of its proper divisors (80559034484544).

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

28817242401024 is an frugal number, since it uses more digits than its factorization.

28817242401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 28817242401024 in words is "twenty-eight trillion, eight hundred seventeen billion, two hundred forty-two million, four hundred one thousand, twenty-four".