28270288037376 has 3200 divisors, whose sum is σ = 116502579072000. Its totient is φ = 6742112993280.

The previous prime is 28270288037371. The next prime is 28270288037377. The reversal of 28270288037376 is 67373088207282.

28270288037376 is a `hidden beast` number, since 28 + 270 + 288 + 0 + 37 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28270288037371) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110001120640 + ... + 110001120896.

It is an arithmetic number, because the mean of its divisors is an integer number (36407055960).

Almost surely, 2^{28270288037376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28270288037376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58251289536000).

28270288037376 is an abundant number, since it is smaller than the sum of its proper divisors (88232291034624).

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

28270288037376 is a wasteful number, since it uses less digits than its factorization.

28270288037376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 28270288037376 in words is "twenty-eight trillion, two hundred seventy billion, two hundred eighty-eight million, thirty-seven thousand, three hundred seventy-six".