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1228428432 = 243274111719
BaseRepresentation
bin100100100111000…
…0101010010010000
310011121111122000100
41021032011102100
510003434202212
6321521252400
742304320000
oct11116052220
93147448010
101228428432
11580463510
122a3494100
1316766903a
14b9210000
1572ca3bdc
hex49385490

1228428432 has 600 divisors, whose sum is σ = 4876428960. Its totient is φ = 284497920.

The previous prime is 1228428427. The next prime is 1228428493. The reversal of 1228428432 is 2348248221.

1228428432 is a `hidden beast` number, since 1 + 228 + 428 + 4 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64654119 + ... + 64654137.

Almost surely, 21228428432 is an apocalyptic number.

1228428432 is a gapful number since it is divisible by the number (12) 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 1228428432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438214480).

1228428432 is an abundant number, since it is smaller than the sum of its proper divisors (3648000528).

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

1228428432 is a wasteful number, since it uses less digits than its factorization.

1228428432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 1228428432 is about 35048.9433792233. The cubic root of 1228428432 is about 1070.9847492382.

The spelling of 1228428432 in words is "one billion, two hundred twenty-eight million, four hundred twenty-eight thousand, four hundred thirty-two".