1728828 has 18 divisors (see below), whose sum is σ = 4370184. Its totient is φ = 576264.

The previous prime is 1728827. The next prime is 1728871. The reversal of 1728828 is 8288271.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 48023 = 1728828 / (1 + 7 + 2 + 8 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 1728792 and 1728801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23976 + ... + 24047.

It is an arithmetic number, because the mean of its divisors is an integer number (242788).

2^1728828 is an apocalyptic number.

1728828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1728828 is an abundant number, since it is smaller than the sum of its proper divisors (2641356).

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

1728828 is a wasteful number, since it uses less digits than its factorization.

1728828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48033 (or 48028 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 1728828 is about 1314.8490407648. The cubic root of 1728828 is about 120.0191636061.

It can be divided in two parts, 1728 and 828, that added together give a triangular number (2556 = T₇₁).

The spelling of 1728828 in words is "one million, seven hundred twenty-eight thousand, eight hundred twenty-eight".