2401728 has 56 divisors (see below), whose sum is σ = 7266432. Its totient is φ = 685824.

The previous prime is 2401727. The next prime is 2401741. The reversal of 2401728 is 8271042.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2401698 and 2401707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401727) 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, 451 + ... + 2237.

2^2401728 is an apocalyptic number.

2401728 is a gapful number since it is divisible by the number (28) 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 2401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633216).

2401728 is an abundant number, since it is smaller than the sum of its proper divisors (4864704).

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

2401728 is a wasteful number, since it uses less digits than its factorization.

2401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2401728 is about 1549.7509477332. The cubic root of 2401728 is about 133.9187150893.

The spelling of 2401728 in words is "two million, four hundred one thousand, seven hundred twenty-eight".