28101973536 has 576 divisors, whose sum is σ = 102001536000. Its totient is φ = 7291275264.

The previous prime is 28101973531. The next prime is 28101973561. The reversal of 28101973536 is 63537910182.

28101973536 is a `hidden beast` number, since 2 + 8 + 101 + 9 + 7 + 3 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28101973491 and 28101973500.

It is not an unprimeable number, because it can be changed into a prime (28101973531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101451030 + ... + 101451306.

It is an arithmetic number, because the mean of its divisors is an integer number (177086000).

Almost surely, 2^28101973536 is an apocalyptic number.

28101973536 is a gapful number since it is divisible by the number (26) 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 28101973536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51000768000).

28101973536 is an abundant number, since it is smaller than the sum of its proper divisors (73899562464).

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

28101973536 is a wasteful number, since it uses less digits than its factorization.

28101973536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 28101973536 in words is "twenty-eight billion, one hundred one million, nine hundred seventy-three thousand, five hundred thirty-six".