29728920 has 256 divisors, whose sum is σ = 108864000. Its totient is φ = 6414336.

The previous prime is 29728913. The next prime is 29728943. The reversal of 29728920 is 2982792.

29728920 = T₄₃ + T₄₄ + ... + T₅₆₂.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503851 + ... + 503909.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 2^29728920 is an apocalyptic number.

29728920 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 29728920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

29728920 is an abundant number, since it is smaller than the sum of its proper divisors (79135080).

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

29728920 is a wasteful number, since it uses less digits than its factorization.

29728920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 29728920 is about 5452.4233144539. The cubic root of 29728920 is about 309.7845190017.

The spelling of 29728920 in words is "twenty-nine million, seven hundred twenty-eight thousand, nine hundred twenty".