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1028621664 = 2532731109151
BaseRepresentation
bin111101010011111…
…000010101100000
32122200112101122200
4331103320111200
54101311343124
6250022533200
734330065660
oct7523702540
92580471580
101028621664
114886a2754
12248597200
1313514b995
149a87c1a0
1560486bc9
hex3d4f8560

1028621664 has 288 divisors, whose sum is σ = 3505582080. Its totient is φ = 279936000.

The previous prime is 1028621651. The next prime is 1028621689. The reversal of 1028621664 is 4661268201.

1028621664 is a `hidden beast` number, since 1 + 0 + 28 + 621 + 6 + 6 + 4 = 666.

1028621664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6811989 + ... + 6812139.

It is an arithmetic number, because the mean of its divisors is an integer number (12172160).

Almost surely, 21028621664 is an apocalyptic number.

1028621664 is a gapful number since it is divisible by the number (14) 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 1028621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752791040).

1028621664 is an abundant number, since it is smaller than the sum of its proper divisors (2476960416).

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

1028621664 is a wasteful number, since it uses less digits than its factorization.

1028621664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1028621664 is about 32072.1322022718. The cubic root of 1028621664 is about 1009.4509527704.

Adding to 1028621664 its reverse (4661268201), we get a palindrome (5689889865).

The spelling of 1028621664 in words is "one billion, twenty-eight million, six hundred twenty-one thousand, six hundred sixty-four".