20628300 has 288 divisors, whose sum is σ = 79994880. Its totient is φ = 3974400.

The previous prime is 20628287. The next prime is 20628313. The reversal of 20628300 is 382602.

It is an interprime number because it is at equal distance from previous prime (20628287) and next prime (20628313).

It is a super-3 number, since 3×20628300³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438877 + ... + 438923.

It is an arithmetic number, because the mean of its divisors is an integer number (277760).

Almost surely, 2^20628300 is an apocalyptic number.

20628300 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 20628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

20628300 is an abundant number, since it is smaller than the sum of its proper divisors (59366580).

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

20628300 is a wasteful number, since it uses less digits than its factorization.

20628300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20628300 is about 4541.8388346572. The cubic root of 20628300 is about 274.2549529924.

The spelling of 20628300 in words is "twenty million, six hundred twenty-eight thousand, three hundred".