28650400 has 72 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 11247360.

The previous prime is 28650397. The next prime is 28650403. The reversal of 28650400 is 405682.

It is an interprime number because it is at equal distance from previous prime (28650397) and next prime (28650403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28650403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46897 + ... + 47503.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^28650400 is an apocalyptic number.

28650400 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 28650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

28650400 is an abundant number, since it is smaller than the sum of its proper divisors (42595040).

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

28650400 is a wasteful number, since it uses less digits than its factorization.

28650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 28650400 is about 5352.6068415306. The cubic root of 28650400 is about 305.9921110928.

The spelling of 28650400 in words is "twenty-eight million, six hundred fifty thousand, four hundred".