20193628 has 48 divisors (see below), whose sum is σ = 45017280. Its totient is φ = 7709184.

The previous prime is 20193619. The next prime is 20193629. The reversal of 20193628 is 82639102.

It is a super-2 number, since 2×20193628² = 815565223604768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20193628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20193629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9600 + ... + 11512.

It is an arithmetic number, because the mean of its divisors is an integer number (937860).

Almost surely, 2^20193628 is an apocalyptic number.

20193628 is a gapful number since it is divisible by the number (28) 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 20193628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508640).

20193628 is an abundant number, since it is smaller than the sum of its proper divisors (24823652).

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

20193628 is a wasteful number, since it uses less digits than its factorization.

20193628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 20193628 is about 4493.7320792410. The cubic root of 20193628 is about 272.3149286236.

The spelling of 20193628 in words is "twenty million, one hundred ninety-three thousand, six hundred twenty-eight".