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428327100 = 2232522916411
BaseRepresentation
bin11001100001111…
…100000010111100
31002211222021022200
4121201330002330
51334122431400
6110300311500
713420502025
oct3141740274
91084867280
10428327100
111aa863543
12bb542590
136a97bcb6
1440c59c4c
152790bb00
hex1987c0bc

428327100 has 108 divisors (see below), whose sum is σ = 1388947560. Its totient is φ = 110275200.

The previous prime is 428327077. The next prime is 428327101. The reversal of 428327100 is 1723824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428327101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17895 + ... + 34305.

Almost surely, 2428327100 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 428327100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694473780).

428327100 is an abundant number, since it is smaller than the sum of its proper divisors (960620460).

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

428327100 is a wasteful number, since it uses less digits than its factorization.

428327100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16460 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 428327100 is about 20696.0648433464. The cubic root of 428327100 is about 753.8041387481.

The spelling of 428327100 in words is "four hundred twenty-eight million, three hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 16411 26100 32822 49233 65644 82055 98466 147699 164110 196932 246165 295398 328220 410275 475919 492330 590796 738495 820550 951838 984660 1230825 1427757 1476990 1641100 1903676 2379595 2461650 2855514 2953980 3692475 4283271 4759190 4923300 5711028 7138785 7384950 8566542 9518380 11897975 14277570 14769900 17133084 21416355 23795950 28555140 35693925 42832710 47591900 71387850 85665420 107081775 142775700 214163550 428327100