1628928 has 108 divisors (see below), whose sum is σ = 5420688. Its totient is φ = 460800.

The previous prime is 1628917. The next prime is 1628933. The reversal of 1628928 is 8298261.

1628928 is a `hidden beast` number, since 1 + 628 + 9 + 28 = 666.

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 = 1628892 and 1628901.

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, 16078 + ... + 16178.

2^1628928 is an apocalyptic number.

1628928 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 1628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710344).

1628928 is an abundant number, since it is smaller than the sum of its proper divisors (3791760).

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

1628928 is a wasteful number, since it uses less digits than its factorization.

1628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1628928 is about 1276.2946368296. The cubic root of 1628928 is about 117.6613868040.

It can be divided in two parts, 1628 and 928, that added together give a triangular number (2556 = T₇₁).

The spelling of 1628928 in words is "one million, six hundred twenty-eight thousand, nine hundred twenty-eight".