28438202338560 has 1440 divisors, whose sum is σ = 127108422346752. Its totient is φ = 5920370196480.

The previous prime is 28438202338547. The next prime is 28438202338571. The reversal of 28438202338560 is 6583320283482.

28438202338560 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 8 + 20 + 23 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 28438202338497 and 28438202338506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 382438344 + ... + 382512696.

Almost surely, 2^{28438202338560} is an apocalyptic number.

28438202338560 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 28438202338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63554211173376).

28438202338560 is an abundant number, since it is smaller than the sum of its proper divisors (98670220008192).

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

28438202338560 is a wasteful number, since it uses less digits than its factorization.

28438202338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74441 (or 74418 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 28438202338560 in words is "twenty-eight trillion, four hundred thirty-eight billion, two hundred two million, three hundred thirty-eight thousand, five hundred sixty".