29128500 has 72 divisors (see below), whose sum is σ = 91904904. Its totient is φ = 7766400.

The previous prime is 29128493. The next prime is 29128507. The reversal of 29128500 is 582192.

It is an interprime number because it is at equal distance from previous prime (29128493) and next prime (29128507).

It can be written as a sum of positive squares in 4 ways, for example, as 4088484 + 25040016 = 2022^2 + 5004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29128507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264 + ... + 7736.

It is an arithmetic number, because the mean of its divisors is an integer number (1276457).

Almost surely, 2^29128500 is an apocalyptic number.

29128500 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 29128500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45952452).

29128500 is an abundant number, since it is smaller than the sum of its proper divisors (62776404).

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

29128500 is a wasteful number, since it uses less digits than its factorization.

29128500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 29128500 is about 5397.0825452276. The cubic root of 29128500 is about 307.6847986950.

The spelling of 29128500 in words is "twenty-nine million, one hundred twenty-eight thousand, five hundred".