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28742148 = 2233416491
BaseRepresentation
bin110110110100…
…1001000000100
32000002020211000
41231221020010
524324222043
62504013300
7466206231
oct155511004
960066730
1028742148
1115251446
129761230
135c545b6
143b62788
1527cb2d3
hex1b69204

28742148 has 48 divisors (see below), whose sum is σ = 76345920. Its totient is φ = 9345600.

The previous prime is 28742137. The next prime is 28742173. The reversal of 28742148 is 84124782.

It is a super-2 number, since 2×287421482 = 1652222143307808, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183 + ... + 7673.

It is an arithmetic number, because the mean of its divisors is an integer number (1590540).

Almost surely, 228742148 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 28742148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38172960).

28742148 is an abundant number, since it is smaller than the sum of its proper divisors (47603772).

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

28742148 is a wasteful number, since it uses less digits than its factorization.

28742148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6537 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 28742148 is about 5361.1703946060. The cubic root of 28742148 is about 306.3183921668.

The spelling of 28742148 in words is "twenty-eight million, seven hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 6491 12982 19473 25964 38946 58419 77892 116838 175257 233676 266131 350514 532262 701028 798393 1064524 1596786 2395179 3193572 4790358 7185537 9580716 14371074 28742148