1505628 has 36 divisors (see below), whose sum is σ = 3949400. Its totient is φ = 501552.

The previous prime is 1505611. The next prime is 1505657. The reversal of 1505628 is 8265051.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198 + ... + 1746.

2^1505628 is an apocalyptic number.

1505628 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 1505628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974700).

1505628 is an abundant number, since it is smaller than the sum of its proper divisors (2443772).

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

1505628 is a wasteful number, since it uses less digits than its factorization.

1505628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1505628 is about 1227.0403416351. The cubic root of 1505628 is about 114.6144111698.

It can be divided in two parts, 150 and 5628, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 1505628 in words is "one million, five hundred five thousand, six hundred twenty-eight".