Search a number
-
+
1028076928 = 2719795351
BaseRepresentation
bin111101010001110…
…011010110000000
32122122111201102021
4331101303112000
54101141430203
6250003131224
734322336554
oct7521632600
92578451367
101028076928
1148836045a
12248373b14
13134cbaa58
149a779864
15603ca5bd
hex3d473580

1028076928 has 64 divisors (see below), whose sum is σ = 2183616000. Its totient is φ = 480729600.

The previous prime is 1028076899. The next prime is 1028076949. The reversal of 1028076928 is 8296708201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189453 + ... + 194803.

It is an arithmetic number, because the mean of its divisors is an integer number (34119000).

Almost surely, 21028076928 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 1028076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091808000).

1028076928 is an abundant number, since it is smaller than the sum of its proper divisors (1155539072).

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

1028076928 is an equidigital number, since it uses as much as digits as its factorization.

1028076928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 1028076928 is about 32063.6387205195. The cubic root of 1028076928 is about 1009.2727267712.

The spelling of 1028076928 in words is "one billion, twenty-eight million, seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 128 152 158 304 316 608 632 1216 1264 1501 2432 2528 3002 5056 5351 6004 10112 10702 12008 21404 24016 42808 48032 85616 96064 101669 171232 192128 203338 342464 406676 422729 684928 813352 845458 1626704 1690916 3253408 3381832 6506816 6763664 8031851 13013632 13527328 16063702 27054656 32127404 54109312 64254808 128509616 257019232 514038464 1028076928