19873728 has 224 divisors, whose sum is σ = 70225920. Its totient is φ = 5391360.

The previous prime is 19873727. The next prime is 19873751. The reversal of 19873728 is 82737891.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (169344) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19873727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374950 + ... + 375002.

Almost surely, 2^19873728 is an apocalyptic number.

19873728 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 19873728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112960).

19873728 is an abundant number, since it is smaller than the sum of its proper divisors (50352192).

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

19873728 is a wasteful number, since it uses less digits than its factorization.

19873728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 19873728 is about 4457.9959623131. The cubic root of 19873728 is about 270.8692969573.

It can be divided in two parts, 198737 and 28, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 19873728 in words is "nineteen million, eight hundred seventy-three thousand, seven hundred twenty-eight".