1742689728 has 280 divisors, whose sum is σ = 5860359120. Its totient is φ = 507617280.

The previous prime is 1742689727. The next prime is 1742689807. The reversal of 1742689728 is 8279862471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742689727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1279768 + ... + 1281128.

It is an arithmetic number, because the mean of its divisors is an integer number (20929854).

Almost surely, 2^1742689728 is an apocalyptic number.

1742689728 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 1742689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930179560).

1742689728 is an abundant number, since it is smaller than the sum of its proper divisors (4117669392).

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

1742689728 is a wasteful number, since it uses less digits than its factorization.

1742689728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1398 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1742689728 is about 41745.5354259590. The cubic root of 1742689728 is about 1203.3908096504.

The spelling of 1742689728 in words is "one billion, seven hundred forty-two million, six hundred eighty-nine thousand, seven hundred twenty-eight".