510220728 has 128 divisors (see below), whose sum is σ = 1537704000. Its totient is φ = 156119040.

The previous prime is 510220721. The next prime is 510220759. The reversal of 510220728 is 827022015.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510220721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148858 + ... + 152246.

Almost surely, 2^510220728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510220728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768852000).

510220728 is an abundant number, since it is smaller than the sum of its proper divisors (1027483272).

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

510220728 is a wasteful number, since it uses less digits than its factorization.

510220728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 510220728 is about 22588.0660526748. The cubic root of 510220728 is about 799.0722202803.

The spelling of 510220728 in words is "five hundred ten million, two hundred twenty thousand, seven hundred twenty-eight".