28126238723040 has 384 divisors, whose sum is σ = 94313943198720. Its totient is φ = 7030332243968.

The previous prime is 28126238723029. The next prime is 28126238723081. The reversal of 28126238723040 is 4032783262182.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206413012 + ... + 206549228.

It is an arithmetic number, because the mean of its divisors is an integer number (245609227080).

Almost surely, 2^{28126238723040} is an apocalyptic number.

28126238723040 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 28126238723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47156971599360).

28126238723040 is an abundant number, since it is smaller than the sum of its proper divisors (66187704475680).

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

28126238723040 is a wasteful number, since it uses less digits than its factorization.

28126238723040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136634 (or 136626 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 28126238723040 in words is "twenty-eight trillion, one hundred twenty-six billion, two hundred thirty-eight million, seven hundred twenty-three thousand, forty".