890371090728 has 320 divisors, whose sum is σ = 2945966284800. Its totient is φ = 245859546240.

The previous prime is 890371090717. The next prime is 890371090837. The reversal of 890371090728 is 827090173098.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117973051 + ... + 117980597.

It is an arithmetic number, because the mean of its divisors is an integer number (9206144640).

Almost surely, 2^890371090728 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 890371090728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472983142400).

890371090728 is an abundant number, since it is smaller than the sum of its proper divisors (2055595194072).

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

890371090728 is a wasteful number, since it uses less digits than its factorization.

890371090728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8442 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 890371090728 in words is "eight hundred ninety billion, three hundred seventy-one million, ninety thousand, seven hundred twenty-eight".