29268366400 has 567 divisors, whose sum is σ = 92687873679. Its totient is φ = 9065871360.

The previous prime is 29268366389. The next prime is 29268366401. The reversal of 29268366400 is 466386292.

The square root of 29268366400 is 171080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7543964736 + 21724401664 = 86856^2 + 147392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29268366401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 622731177 + ... + 622731223.

Almost surely, 2^29268366400 is an apocalyptic number.

29268366400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29268366400 is the 171080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29268366400

29268366400 is an abundant number, since it is smaller than the sum of its proper divisors (63419507279).

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

29268366400 is a wasteful number, since it uses less digits than its factorization.

29268366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 29268366400 in words is "twenty-nine billion, two hundred sixty-eight million, three hundred sixty-six thousand, four hundred".