29428980 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 6558720.

The previous prime is 29428979. The next prime is 29428981. The reversal of 29428980 is 8982492.

It is an interprime number because it is at equal distance from previous prime (29428979) and next prime (29428981).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29428981) by changing a digit.

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, 16366 + ... + 18074.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^29428980 is an apocalyptic number.

29428980 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 29428980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

29428980 is an abundant number, since it is smaller than the sum of its proper divisors (67097100).

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

29428980 is a wasteful number, since it uses less digits than its factorization.

29428980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 29428980 is about 5424.8483849781. The cubic root of 29428980 is about 308.7391730756.

The spelling of 29428980 in words is "twenty-nine million, four hundred twenty-eight thousand, nine hundred eighty".