1953728 has 56 divisors (see below), whose sum is σ = 4572000. Its totient is φ = 827904.

The previous prime is 1953727. The next prime is 1953761. The reversal of 1953728 is 8273591.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21908 + ... + 21996.

2^1953728 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 1953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286000).

1953728 is an abundant number, since it is smaller than the sum of its proper divisors (2618272).

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

1953728 is an frugal number, since it uses more digits than its factorization.

1953728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 1953728 is about 1397.7582051271. The cubic root of 1953728 is about 125.0128626764.

The spelling of 1953728 in words is "one million, nine hundred fifty-three thousand, seven hundred twenty-eight".