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3228528480 = 2535173112763
BaseRepresentation
bin1100000001101111…
…0110111101100000
322100000001020110220
43000123312331200
523103000402410
61252210323040
7143002016322
oct30033667540
98300036426
103228528480
111407469261
12761289480
133c5b49aa8
14228ad3612
1513d686070
hexc06f6f60

3228528480 has 192 divisors, whose sum is σ = 11116320768. Its totient is φ = 784097280.

The previous prime is 3228528473. The next prime is 3228528487. The reversal of 3228528480 is 848258223.

3228528480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3228528473) and next prime (3228528487).

It is a super-2 number, since 2×32285284802 = 20846792292342220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228528487) 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, 246579 + ... + 259341.

It is an arithmetic number, because the mean of its divisors is an integer number (57897504).

Almost surely, 23228528480 is an apocalyptic number.

3228528480 is a gapful number since it is divisible by the number (30) 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 3228528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558160384).

3228528480 is an abundant number, since it is smaller than the sum of its proper divisors (7887792288).

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

3228528480 is a wasteful number, since it uses less digits than its factorization.

3228528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12829 (or 12821 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 3228528480 is about 56820.1414992958. The cubic root of 3228528480 is about 1477.9788090321.

The spelling of 3228528480 in words is "three billion, two hundred twenty-eight million, five hundred twenty-eight thousand, four hundred eighty".