29128248900 has 81 divisors (see below), whose sum is σ = 91316929431. Its totient is φ = 7766167680.

The previous prime is 29128248893. The next prime is 29128248907. The reversal of 29128248900 is 984282192.

It is a happy number.

The square root of 29128248900 is 170670.

It is a perfect power (a square), and thus also a powerful number.

29128248900 is a `hidden beast` number, since 2 + 91 + 2 + 82 + 489 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (29128248893) and next prime (29128248907).

It can be written as a sum of positive squares in 4 ways, for example, as 5083404804 + 24044844096 = 71298^2 + 155064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29128248907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5117256 + ... + 5122944.

Almost surely, 2^29128248900 is an apocalyptic number.

29128248900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29128248900 is the 170670-th square number.

It is an amenable number.

29128248900 is an abundant number, since it is smaller than the sum of its proper divisors (62188680531).

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

29128248900 is an equidigital number, since it uses as much as digits as its factorization.

29128248900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 29128248900 in words is "twenty-nine billion, one hundred twenty-eight million, two hundred forty-eight thousand, nine hundred".