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2028162048 = 210311471277
BaseRepresentation
bin111100011100011…
…0100110000000000
312020100100022021220
41320320310300000
513123202141143
6533130315040
7101155043613
oct17070646000
95210308256
102028162048
11950932190
12487288a80
132642578b3
1415350a17a
15bd0c6d83
hex78e34c00

2028162048 has 176 divisors, whose sum is σ = 6027416064. Its totient is φ = 601047040.

The previous prime is 2028161987. The next prime is 2028162079. The reversal of 2028162048 is 8402618202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×20281620482 = 8226882585895108608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1587586 + ... + 1588862.

Almost surely, 22028162048 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 2028162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013708032).

2028162048 is an abundant number, since it is smaller than the sum of its proper divisors (3999254016).

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

2028162048 is a wasteful number, since it uses less digits than its factorization.

2028162048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2028162048 is about 45035.1201619358. The cubic root of 2028162048 is about 1265.8071677330.

The spelling of 2028162048 in words is "two billion, twenty-eight million, one hundred sixty-two thousand, forty-eight".