28029600 has 216 divisors, whose sum is σ = 105110460. Its totient is φ = 7004160.

The previous prime is 28029587. The next prime is 28029601. The reversal of 28029600 is 692082.

It can be written as a sum of positive squares in 6 ways, for example, as 21123216 + 6906384 = 4596^2 + 2628^2 .

It is not an unprimeable number, because it can be changed into a prime (28029601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122286 + ... + 122514.

Almost surely, 2^28029600 is an apocalyptic number.

28029600 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 28029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52555230).

28029600 is an abundant number, since it is smaller than the sum of its proper divisors (77080860).

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

28029600 is a wasteful number, since it uses less digits than its factorization.

28029600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28029600 is about 5294.2988204294. The cubic root of 28029600 is about 303.7658631151.

Adding to 28029600 its product of nonzero digits (1728), we get a triangular number (28031328 = T₇₄₈₇).

The spelling of 28029600 in words is "twenty-eight million, twenty-nine thousand, six hundred".