29728972 has 96 divisors (see below), whose sum is σ = 69092352. Its totient is φ = 10872576.

The previous prime is 29728967. The next prime is 29728991. The reversal of 29728972 is 27982792.

29728972 = T₂₈₈ + T₂₈₉ + ... + T₅₈₆.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443683 + ... + 443749.

It is an arithmetic number, because the mean of its divisors is an integer number (719712).

Almost surely, 2^29728972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29728972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546176).

29728972 is an abundant number, since it is smaller than the sum of its proper divisors (39363380).

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

29728972 is a wasteful number, since it uses less digits than its factorization.

29728972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 29728972 is about 5452.4280829737. The cubic root of 29728972 is about 309.7846996203.

The spelling of 29728972 in words is "twenty-nine million, seven hundred twenty-eight thousand, nine hundred seventy-two".