29628148 has 48 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 12992000.

The previous prime is 29628143. The next prime is 29628149. The reversal of 29628148 is 84182692.

It is a super-3 number, since 3×29628148³ (a number of 23 digits) contains 333 as substring.

Its product of digits (55296) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 29628148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29628143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262140 + ... + 262252.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^29628148 is an apocalyptic number.

It is an amenable number.

29628148 is a deficient number, since it is larger than the sum of its proper divisors (28976972).

29628148 is a wasteful number, since it uses less digits than its factorization.

29628148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 29628148 is about 5443.1744414450. The cubic root of 29628148 is about 309.4340976516.

The spelling of 29628148 in words is "twenty-nine million, six hundred twenty-eight thousand, one hundred forty-eight".