28701193752 has 192 divisors, whose sum is σ = 101173449600. Its totient is φ = 7454825280.

The previous prime is 28701193751. The next prime is 28701193757. The reversal of 28701193752 is 25739110782.

It is a junction number, because it is equal to n+sod(n) for n = 28701193698 and 28701193707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28701193751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6838 + ... + 239685.

It is an arithmetic number, because the mean of its divisors is an integer number (526945050).

Almost surely, 2^28701193752 is an apocalyptic number.

28701193752 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 28701193752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50586724800).

28701193752 is an abundant number, since it is smaller than the sum of its proper divisors (72472255848).

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

28701193752 is a wasteful number, since it uses less digits than its factorization.

28701193752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246563 (or 246546 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 28701193752 in words is "twenty-eight billion, seven hundred one million, one hundred ninety-three thousand, seven hundred fifty-two".