29628090 has 24 divisors (see below), whose sum is σ = 77033268. Its totient is φ = 7900800.

The previous prime is 29628073. The next prime is 29628101. The reversal of 29628090 is 9082692.

29628090 is a `hidden beast` number, since 29 + 628 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29582721 + 45369 = 5439^2 + 213^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164511 + ... + 164690.

Almost surely, 2^29628090 is an apocalyptic number.

29628090 is an abundant number, since it is smaller than the sum of its proper divisors (47405178).

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

29628090 is a wasteful number, since it uses less digits than its factorization.

29628090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329214 (or 329211 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29628090 is about 5443.1691136690. The cubic root of 29628090 is about 309.4338957356.

The spelling of 29628090 in words is "twenty-nine million, six hundred twenty-eight thousand, ninety".