28598752683072 has 448 divisors, whose sum is σ = 98886085509120. Its totient is φ = 7990530508800.

The previous prime is 28598752683071. The next prime is 28598752683089. The reversal of 28598752683072 is 27038625789582.

It is a happy number.

28598752683072 is a `hidden beast` number, since 2 + 8 + 5 + 98 + 7 + 526 + 8 + 3 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28598752683071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218127297 + ... + 218258367.

It is an arithmetic number, because the mean of its divisors is an integer number (220727869440).

Almost surely, 2^{28598752683072} is an apocalyptic number.

28598752683072 is a gapful number since it is divisible by the number (22) 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 28598752683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49443042754560).

28598752683072 is an abundant number, since it is smaller than the sum of its proper divisors (70287332826048).

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

28598752683072 is a wasteful number, since it uses less digits than its factorization.

28598752683072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131999 (or 131983 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 28598752683072 in words is "twenty-eight trillion, five hundred ninety-eight billion, seven hundred fifty-two million, six hundred eighty-three thousand, seventy-two".