28628600 has 216 divisors, whose sum is σ = 90541080. Its totient is φ = 8236800.

The previous prime is 28628591. The next prime is 28628603. The reversal of 28628600 is 682682.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28628603) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2202194 + ... + 2202206.

Almost surely, 2^28628600 is an apocalyptic number.

28628600 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 28628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45270540).

28628600 is an abundant number, since it is smaller than the sum of its proper divisors (61912480).

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

28628600 is a wasteful number, since it uses less digits than its factorization.

28628600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 28628600 is about 5350.5700630867. The cubic root of 28628600 is about 305.9144819193.

It can be divided in two parts, 286 and 28600, that multiplied together give a square (8179600 = 2860²).

The spelling of 28628600 in words is "twenty-eight million, six hundred twenty-eight thousand, six hundred".