28061913600 has 1440 divisors, whose sum is σ = 128232149760. Its totient is φ = 5709496320.

The previous prime is 28061913499. The next prime is 28061913643. The reversal of 28061913600 is 631916082.

28061913600 is a `hidden beast` number, since 2 + 8 + 0 + 619 + 1 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315302356 + ... + 315302444.

It is an arithmetic number, because the mean of its divisors is an integer number (89050104).

Almost surely, 2^28061913600 is an apocalyptic number.

28061913600 is a gapful number since it is divisible by the number (20) 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 28061913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64116074880).

28061913600 is an abundant number, since it is smaller than the sum of its proper divisors (100170236160).

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

28061913600 is a wasteful number, since it uses less digits than its factorization.

28061913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 28061913600 in words is "twenty-eight billion, sixty-one million, nine hundred thirteen thousand, six hundred".