28026433693440 has 3888 divisors, whose sum is σ = 130982469246720. Its totient is φ = 5722518896640.

The previous prime is 28026433693367. The next prime is 28026433693529. The reversal of 28026433693440 is 4439633462082.

28026433693440 is a `hidden beast` number, since 2 + 8 + 0 + 264 + 3 + 36 + 9 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 904078506225 + ... + 904078506255.

Almost surely, 2^{28026433693440} is an apocalyptic number.

28026433693440 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 28026433693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65491234623360).

28026433693440 is an abundant number, since it is smaller than the sum of its proper divisors (102956035553280).

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

28026433693440 is an frugal number, since it uses more digits than its factorization.

28026433693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 28026433693440 in words is "twenty-eight trillion, twenty-six billion, four hundred thirty-three million, six hundred ninety-three thousand, four hundred forty".