28961301600 has 864 divisors, whose sum is σ = 131661573120. Its totient is φ = 6014131200.

The previous prime is 28961301583. The next prime is 28961301601. The reversal of 28961301600 is 610316982.

28961301600 is a `hidden beast` number, since 28 + 9 + 613 + 0 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28961301601) 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 143 ways as a sum of consecutive naturals, for example, 18294409 + ... + 18295991.

It is an arithmetic number, because the mean of its divisors is an integer number (152386080).

Almost surely, 2^28961301600 is an apocalyptic number.

28961301600 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 28961301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65830786560).

28961301600 is an abundant number, since it is smaller than the sum of its proper divisors (102700271520).

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

28961301600 is a wasteful number, since it uses less digits than its factorization.

28961301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1611 counting only the distinct ones).

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

It can be divided in two parts, 28 and 961301600, that added together give a triangular number (961301628 = T₄₃₈₄₇).

The spelling of 28961301600 in words is "twenty-eight billion, nine hundred sixty-one million, three hundred one thousand, six hundred".