220724028 has 90 divisors (see below), whose sum is σ = 671271216. Its totient is φ = 63059472.

The previous prime is 220723991. The next prime is 220724051. The reversal of 220724028 is 820427022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220723992 and 220724010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8925 + ... + 22827.

Almost surely, 2^220724028 is an apocalyptic number.

220724028 is a gapful number since it is divisible by the number (28) 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 220724028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335635608).

220724028 is an abundant number, since it is smaller than the sum of its proper divisors (450547188).

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

220724028 is a wasteful number, since it uses less digits than its factorization.

220724028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933 (or 13915 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 220724028 is about 14856.7839050045. The cubic root of 220724028 is about 604.3425939690.

The spelling of 220724028 in words is "two hundred twenty million, seven hundred twenty-four thousand, twenty-eight".