29528064 has 130 divisors (see below), whose sum is σ = 89199990. Its totient is φ = 9732096.

The previous prime is 29528063. The next prime is 29528069. The reversal of 29528064 is 46082592.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 8294400 = 4608^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29528063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331732 + ... + 331820.

Almost surely, 2^29528064 is an apocalyptic number.

29528064 is a gapful number since it is divisible by the number (24) 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 29528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44599995).

29528064 is an abundant number, since it is smaller than the sum of its proper divisors (59671926).

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

29528064 is an frugal number, since it uses more digits than its factorization.

29528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 29528064 is about 5433.9731320646. The cubic root of 29528064 is about 309.0852813907.

The spelling of 29528064 in words is "twenty-nine million, five hundred twenty-eight thousand, sixty-four".