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28649940 = 22351183523
BaseRepresentation
bin110110101001…
…0100111010100
31222220120022220
41231102213110
524313244230
62502022340
7465343344
oct155224724
958816286
1028649940
1115199140
1297179b0
135c21637
143b3ad24
1527add10
hex1b529d4

28649940 has 96 divisors (see below), whose sum is σ = 88736256. Its totient is φ = 6848640.

The previous prime is 28649923. The next prime is 28650001. The reversal of 28649940 is 4994682.

It is a junction number, because it is equal to n+sod(n) for n = 28649892 and 28649901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54519 + ... + 55041.

It is an arithmetic number, because the mean of its divisors is an integer number (924336).

Almost surely, 228649940 is an apocalyptic number.

28649940 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 28649940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44368128).

28649940 is an abundant number, since it is smaller than the sum of its proper divisors (60086316).

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

28649940 is a wasteful number, since it uses less digits than its factorization.

28649940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 28649940 is about 5352.5638716413. The cubic root of 28649940 is about 305.9904734528.

The spelling of 28649940 in words is "twenty-eight million, six hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 523 660 830 913 996 1046 1245 1569 1660 1826 2092 2490 2615 2739 3138 3652 4565 4980 5230 5478 5753 6276 7845 9130 10460 10956 11506 13695 15690 17259 18260 23012 27390 28765 31380 34518 43409 54780 57530 69036 86295 86818 115060 130227 172590 173636 217045 260454 345180 434090 477499 520908 651135 868180 954998 1302270 1432497 1909996 2387495 2604540 2864994 4774990 5729988 7162485 9549980 14324970 28649940