28932378789600 has 4536 divisors, whose sum is σ = 135676899700776. Its totient is φ = 5935762944000.

The previous prime is 28932378789553. The next prime is 28932378789607. The reversal of 28932378789600 is 698787323982.

28932378789600 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 2 + 3 + 7 + 8 + 7 + 8 + 9 + 600 = 666.

It is a super-2 number, since 2×28932378789600² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28932378789607) by changing a digit.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 933302541585 + ... + 933302541615.

It is an arithmetic number, because the mean of its divisors is an integer number (29911133091).

Almost surely, 2^{28932378789600} is an apocalyptic number.

28932378789600 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 28932378789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67838449850388).

28932378789600 is an abundant number, since it is smaller than the sum of its proper divisors (106744520911176).

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

28932378789600 is a wasteful number, since it uses less digits than its factorization.

28932378789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 28932378789600 in words is "twenty-eight trillion, nine hundred thirty-two billion, three hundred seventy-eight million, seven hundred eighty-nine thousand, six hundred".