20351628 has 96 divisors (see below), whose sum is σ = 59243520. Its totient is φ = 5987520.

The previous prime is 20351627. The next prime is 20351633. The reversal of 20351628 is 82615302.

20351628 is a `hidden beast` number, since 2 + 0 + 35 + 1 + 628 = 666.

It is a super-3 number, since 3×20351628³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20351627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43725 + ... + 44187.

It is an arithmetic number, because the mean of its divisors is an integer number (617120).

Almost surely, 2^20351628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20351628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29621760).

20351628 is an abundant number, since it is smaller than the sum of its proper divisors (38891892).

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

20351628 is a wasteful number, since it uses less digits than its factorization.

20351628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20351628 is about 4511.2778677443. The cubic root of 20351628 is about 273.0233043746.

It can be divided in two parts, 2035 and 1628, that added together give a palindrome (3663).

The spelling of 20351628 in words is "twenty million, three hundred fifty-one thousand, six hundred twenty-eight".