28619740800 has 768 divisors, whose sum is σ = 121420800000. Its totient is φ = 6448066560.

The previous prime is 28619740789. The next prime is 28619740813. The reversal of 28619740800 is 804791682.

28619740800 is a `hidden beast` number, since 28 + 619 + 7 + 4 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 47778901 + ... + 47779499.

It is an arithmetic number, because the mean of its divisors is an integer number (158100000).

Almost surely, 2^28619740800 is an apocalyptic number.

28619740800 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 28619740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400000).

28619740800 is an abundant number, since it is smaller than the sum of its proper divisors (92801059200).

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

28619740800 is a wasteful number, since it uses less digits than its factorization.

28619740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28619740800 in words is "twenty-eight billion, six hundred nineteen million, seven hundred forty thousand, eight hundred".