1728828040 has 32 divisors (see below), whose sum is σ = 4023999000. Its totient is φ = 667684864.

The previous prime is 1728828037. The next prime is 1728828047. The reversal of 1728828040 is 408288271.

It can be written as a sum of positive squares in 4 ways, for example, as 1559776036 + 169052004 = 39494^2 + 13002^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1728827984 and 1728828002.

It is not an unprimeable number, because it can be changed into a prime (1728828047) 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, 744025 + ... + 746344.

Almost surely, 2^1728828040 is an apocalyptic number.

1728828040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728828040 is an abundant number, since it is smaller than the sum of its proper divisors (2295170960).

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

1728828040 is a wasteful number, since it uses less digits than its factorization.

1728828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490409 (or 1490405 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 1728828040 is about 41579.1779620521. The cubic root of 1728828040 is about 1200.1916453177.

The spelling of 1728828040 in words is "one billion, seven hundred twenty-eight million, eight hundred twenty-eight thousand, forty".