19748628 has 108 divisors (see below), whose sum is σ = 56160468. Its totient is φ = 5829120.

The previous prime is 19748621. The next prime is 19748633. The reversal of 19748628 is 82684791.

19748628 is a `hidden beast` number, since 19 + 7 + 4 + 8 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6874884 + 12873744 = 2622^2 + 3588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19748621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323718 + ... + 323778.

Almost surely, 2^19748628 is an apocalyptic number.

19748628 is a gapful number since it is divisible by the number (18) 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 19748628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080234).

19748628 is an abundant number, since it is smaller than the sum of its proper divisors (36411840).

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

19748628 is a wasteful number, since it uses less digits than its factorization.

19748628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 19748628 is about 4443.9428439169. The cubic root of 19748628 is about 270.2997494047.

The spelling of 19748628 in words is "nineteen million, seven hundred forty-eight thousand, six hundred twenty-eight".