28571600338944 has 480 divisors, whose sum is σ = 84419300818944. Its totient is φ = 8540604334080.

The previous prime is 28571600338937. The next prime is 28571600338949. The reversal of 28571600338944 is 44983300617582.

It is not an unprimeable number, because it can be changed into a prime (28571600338949) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3488165889 + ... + 3488174079.

It is a 1-persistent number, because it is pandigital, but 2⋅28571600338944 = 57143200677888 is not.

Almost surely, 2^{28571600338944} is an apocalyptic number.

28571600338944 is a gapful number since it is divisible by the number (24) 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 28571600338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42209650409472).

28571600338944 is an abundant number, since it is smaller than the sum of its proper divisors (55847700480000).

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

28571600338944 is a wasteful number, since it uses less digits than its factorization.

28571600338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 28571600338944 in words is "twenty-eight trillion, five hundred seventy-one billion, six hundred million, three hundred thirty-eight thousand, nine hundred forty-four".