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28950960 = 2435711699
BaseRepresentation
bin110111001110…
…0000110110000
32000110212020210
41232130012300
524402412320
62512304120
7501036063
oct156340660
960425223
1028950960
1115384315
129842040
135cc865c
143bb88da
15281d0e0
hex1b9c1b0

28950960 has 80 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 7607040.

The previous prime is 28950959. The next prime is 28950967. The reversal of 28950960 is 6905982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (28950967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16191 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 228950960 is an apocalyptic number.

28950960 is a gapful number since it is divisible by the number (20) 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 28950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

28950960 is an abundant number, since it is smaller than the sum of its proper divisors (62114640).

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

28950960 is a wasteful number, since it uses less digits than its factorization.

28950960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 28950960 is about 5380.6096308876. The cubic root of 28950960 is about 307.0584050693.

The spelling of 28950960 in words is "twenty-eight million, nine hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1699 1704 2130 2840 3398 3408 4260 5097 5680 6796 8495 8520 10194 13592 16990 17040 20388 25485 27184 33980 40776 50970 67960 81552 101940 120629 135920 203880 241258 361887 407760 482516 603145 723774 965032 1206290 1447548 1809435 1930064 2412580 2895096 3618870 4825160 5790192 7237740 9650320 14475480 28950960