29628300 has 144 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 7123200.

The previous prime is 29628293. The next prime is 29628307. The reversal of 29628300 is 382692.

It is an interprime number because it is at equal distance from previous prime (29628293) and next prime (29628307).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (29628307) 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 47 ways as a sum of consecutive naturals, for example, 276847 + ... + 276953.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^29628300 is an apocalyptic number.

29628300 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 29628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

29628300 is an abundant number, since it is smaller than the sum of its proper divisors (64865652).

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

29628300 is a wasteful number, since it uses less digits than its factorization.

29628300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 29628300 is about 5443.1884038677. The cubic root of 29628300 is about 309.4346268094.

The spelling of 29628300 in words is "twenty-nine million, six hundred twenty-eight thousand, three hundred".