29628820 has 24 divisors (see below), whose sum is σ = 67007304. Its totient is φ = 10939776.

The previous prime is 29628811. The next prime is 29628827. The reversal of 29628820 is 2882692.

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 25684624 = 1986^2 + 5068^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29628820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29628827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56719 + ... + 57238.

It is an arithmetic number, because the mean of its divisors is an integer number (2791971).

Almost surely, 2^29628820 is an apocalyptic number.

29628820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29628820 is an abundant number, since it is smaller than the sum of its proper divisors (37378484).

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

29628820 is a wasteful number, since it uses less digits than its factorization.

29628820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113979 (or 113977 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 29628820 is about 5443.2361697799. The cubic root of 29628820 is about 309.4364370726.

It can be divided in two parts, 29 and 628820, that added together give a square (628849 = 793²).

The spelling of 29628820 in words is "twenty-nine million, six hundred twenty-eight thousand, eight hundred twenty".