29728845441372 has 144 divisors (see below), whose sum is σ = 87154117406720. Its totient is φ = 7720446856320.

The previous prime is 29728845441371. The next prime is 29728845441377. The reversal of 29728845441372 is 27314454882792.

It is a super-3 number, since 3×29728845441372³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29728845441371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59403333 + ... + 59901699.

Almost surely, 2^{29728845441372} is an apocalyptic number.

29728845441372 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 29728845441372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43577058703360).

29728845441372 is an abundant number, since it is smaller than the sum of its proper divisors (57425271965348).

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

29728845441372 is a wasteful number, since it uses less digits than its factorization.

29728845441372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504272 (or 504259 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 66.

The spelling of 29728845441372 in words is "twenty-nine trillion, seven hundred twenty-eight billion, eight hundred forty-five million, four hundred forty-one thousand, three hundred seventy-two".