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210428928 = 210344359
BaseRepresentation
bin11001000101011…
…10010000000000
3112122221220020000
430202232100000
5412332211203
632514120000
75133421263
oct1442562000
9478856200
10210428928
11a8866406
125a580000
1334799178
141dd38cda
15137194a3
hexc8ae400

210428928 has 220 divisors, whose sum is σ = 653893680. Its totient is φ = 67350528.

The previous prime is 210428893. The next prime is 210428963. The reversal of 210428928 is 829824012.

It is an interprime number because it is at equal distance from previous prime (210428893) and next prime (210428963).

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

It is a junction number, because it is equal to n+sod(n) for n = 210428892 and 210428901.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3566563 + ... + 3566621.

It is an arithmetic number, because the mean of its divisors is an integer number (2972244).

Almost surely, 2210428928 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 210428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326946840).

210428928 is an abundant number, since it is smaller than the sum of its proper divisors (443464752).

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

210428928 is an equidigital number, since it uses as much as digits as its factorization.

210428928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 210428928 is about 14506.1686189014. The cubic root of 210428928 is about 594.7966049137.

The spelling of 210428928 in words is "two hundred ten million, four hundred twenty-eight thousand, nine hundred twenty-eight".