28629328 has 90 divisors (see below), whose sum is σ = 70824894. Its totient is φ = 11112192.

The previous prime is 28629317. The next prime is 28629329. The reversal of 28629328 is 82392682.

It can be written as a sum of positive squares in 3 ways, for example, as 4892944 + 23736384 = 2212^2 + 4872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28629329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 540150 + ... + 540202.

Almost surely, 2^28629328 is an apocalyptic number.

28629328 is a gapful number since it is divisible by the number (28) 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 28629328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35412447).

28629328 is an abundant number, since it is smaller than the sum of its proper divisors (42195566).

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

28629328 is a wasteful number, since it uses less digits than its factorization.

28629328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 75 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 28629328 is about 5350.6380927886. The cubic root of 28629328 is about 305.9170749423.

The spelling of 28629328 in words is "twenty-eight million, six hundred twenty-nine thousand, three hundred twenty-eight".