1477728 has 72 divisors (see below), whose sum is σ = 4809168. Its totient is φ = 421632.

The previous prime is 1477711. The next prime is 1477747. The reversal of 1477728 is 8277741.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1477692 and 1477701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1650 + ... + 2382.

It is an arithmetic number, because the mean of its divisors is an integer number (66794).

2^1477728 is an apocalyptic number.

1477728 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 1477728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404584).

1477728 is an abundant number, since it is smaller than the sum of its proper divisors (3331440).

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

1477728 is a wasteful number, since it uses less digits than its factorization.

1477728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 745 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 1477728 is about 1215.6183611644. The cubic root of 1477728 is about 113.9020395769.

It can be divided in two parts, 147 and 7728, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 1477728 in words is "one million, four hundred seventy-seven thousand, seven hundred twenty-eight".