20390167728 has 360 divisors, whose sum is σ = 69116982480. Its totient is φ = 5588352000.

The previous prime is 20390167669. The next prime is 20390167739. The reversal of 20390167728 is 82776109302.

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 71 ways as a sum of consecutive naturals, for example, 51360426 + ... + 51360822.

It is an arithmetic number, because the mean of its divisors is an integer number (191991618).

Almost surely, 2^20390167728 is an apocalyptic number.

20390167728 is a gapful number since it is divisible by the number (28) 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 20390167728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34558491240).

20390167728 is an abundant number, since it is smaller than the sum of its proper divisors (48726814752).

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

20390167728 is a wasteful number, since it uses less digits than its factorization.

20390167728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 20390167728 in words is "twenty billion, three hundred ninety million, one hundred sixty-seven thousand, seven hundred twenty-eight".