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1028010048 = 263131953409
BaseRepresentation
bin111101010001100…
…011000001000000
32122122101022200020
4331101203001000
54101132310143
6250001453440
734321640562
oct7521430100
92578338606
101028010048
1148831518a
12248341280
13134c96490
149a75d332
15603b5883
hex3d463040

1028010048 has 224 divisors, whose sum is σ = 3149193600. Its totient is φ = 293289984.

The previous prime is 1028010031. The next prime is 1028010059. The reversal of 1028010048 is 8400108201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 2513268 + ... + 2513676.

It is an arithmetic number, because the mean of its divisors is an integer number (14058900).

Almost surely, 21028010048 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 1028010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574596800).

1028010048 is an abundant number, since it is smaller than the sum of its proper divisors (2121183552).

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

1028010048 is a wasteful number, since it uses less digits than its factorization.

1028010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1028010048 is about 32062.5957776347. The cubic root of 1028010048 is about 1009.2508407229.

Adding to 1028010048 its reverse (8400108201), we get a palindrome (9428118249).

The spelling of 1028010048 in words is "one billion, twenty-eight million, ten thousand, forty-eight".